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Surface area of solid figures
Quiz by Daphne Dean
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FINDING SURFACE AREA OF SOLID FIGURESWeathering describes the breaking down or dissolving of rocks and minerals on the surface of the Earth. Water, ice, acids, salts, plants, animals, and changes in temperature are all agents of weathering. Once a rock has been broken down, a process called erosion transports the bits of rock and mineral away. No rock on Earth is hard enough to resist the forces of weathering and erosion. Together, these processes carved landmarks such as the Grand Canyon, in the U.S. state of Arizona. This massive canyon is 446 kilometers (277 miles) long, as much as 29 kilometers (18 miles) wide, and 1,600 meters (1 mile) deep. Weathering and erosion constantly change the rocky landscape of Earth. Weathering wears away exposed surfaces over time. The length of exposure often contributes to how vulnerable a rock is to weathering. Rocks, such as lavas, that are quickly buried beneath other rocks are less vulnerable to weathering and erosion than rocks that are exposed to agents such as wind and water, As it smoothes rough, sharp rock surfaces, weathering is often the first step in the production of soils. Tiny bits of weathered minerals mix with plants, animal remains, fungi, bacteria, and other organisms. A single type of weathered rock often produces infertile soil, while weathered materials from a collection of rocks is richer in mineral diversity and contributes to more fertile soil. Soils types associated with a mixture of weathered rock include glacial till, loess, and alluvial sediments. Weathering is often divided into the processes of mechanical weathering and chemical weathering. Biological weathering, in whichliving or once-living organisms contribute to weathering, can be a part of both processes. Mechanical Weathering Mechanical weathering, also called physical weathering and disaggregation, causes rocks to crumble. Water, in either liquid or solid form, is often a key agent of mechanical weathering. For instance, liquid water can seep into cracks and crevices in rock. If temperatures drop low enough, the water will freeze. When water freezes, it expands. The ice then works as a wedge. It slowly widens the cracks and splits the rock. When ice melts, liquid water performs the act of erosion by carrying away the tiny rock fragments lost in the split. This specific process (the freeze-thaw cycle) is called frost weathering or cryofracturing. Figure 4.3 Frost Wedging Temperature changes can also contribute to mechanical weathering in a process called thermal stress. Changes in temperature cause rock to expand (with heat) and contract (with cold). As this happens over and over again. the structure of the rock weakens. Over time, it crumbles. Rocky desert landscapes are particularly vulnerable to thermal stress. The outer layer of desert rocks undergo repeated stress as the temperature changes from day Eventually, Lo outer night. layersflake off in thin sheets, a process called exfoliation. Exfoliation contributes to the formation of bornhardts, one of the most dramatic features in landscapes formed by weathering and erosion. Bornhardts are tall, domed, isolated rocks often found areas. in tropical Sugarloaf Mountain, an iconic landmark in Rio de Janeiro, Brazil, is bornhardt. a Salt also works to weather rock in a process called haloclasty. Saltwater sometimes gets into the cracks and pores of rock. If the saltwater evaporates, salt crystals are left behind. As the crystals grow, they put pressure on the rock, slowly breaking it apart. Plants and animals can be agents of mechanical weathering. The seed of a tree may sprout in soil that has collected in a cracked rock. As the roots grow, they widen the cracks, eventually breaking the rock into pieces. Over time, trees can break apart even large rocks. Even small plants, such as mosses, can enlarge tiny cracks as they grow. Animals that tunnel underground, such as moles and prairie dogs, also work to break apart rock and soil. Other animals dig and trample rock aboveground, causing rock to slowly crumble. Chemical Weathering Chemical weathering changes the molecular structure of rocks and soil.For instance, carbon dioxide from the air or soil sometimes combines with water in a process called carbonation. This produces a weak acid, called carbonic acid, that can dissolve rock. Carbonic acid is especially effective at dissolving limestone. When carbonic acid seeps through limestone underground, it can open up huge cracks or hollow out vast networks of caves. Carlsbad Caverns National Park, in the U.S. state of New Mexico, includes more than 119 limestone caves created by weathering and erosion. The largest is called the Big Room.. With an area of about 33,210 square meters (357,469 square feet), the Big Room is the size of six football fields. Another type of chemical weathering works on rocks that contain iron. These rocks turn to rust in a process called oxidation. Rust is a compound created by the interaction of oxygen and iron in the presence of water. As rust expands, it weakens rock and helps break it apart. Another familiar form of chemical weathering is hydrolysis. In the process of hydrolysis, a new solution (a mixture of two or more substances) is formed as chemicals in rock interact with water. In many rocks, for example, sodium minerals interact with water to form a saltwater solution. Hydration and hydrolysis contribute to flared slopes, another dramatic example of a landscape formed by weathering and erosion. Flared slopes are sometimes nicknamed "wave rocks." Their c-shape is largely concave rock formations a result of subsurface weathering, in which hydration and hydrolysis wear away rocks beneath the landscape's surfaceWeathering and People Weathering is a natural process, but human activities can speed it up. For example, certain kinds of air pollution increase the rate of weathering Burning coal, natural and petroleum releases chemicals such as nitrogen oxide and gas, sulfur dioxide into the atmosphere. When these chemicals combine with sunlight and moisture, they change into acids. They then fall back to Earth as acid rain. Acid rain rapidly weathers limestone, marble, and other kinds of stone. The effects of acid rain can often be seen on gravestones, making names and other inscriptions impossible to read. Acid rain has also damaged many historic buildings and monuments. For example, at 71 meters (233 feet) tall, the Leshan Giant Buddha at Mount Emei, China is the world's largest statue of the Buddha. It was carved 1,300 years ago and sat unharmed for centuries. An innovative drainage system mitigates the natural process of erosion But in recent years, acid rain has turned the statue's nose black and made some of its hair crumble and fall.Area The amount of space inside a shape. We found the area of the rectangle. 面积 Volume The amount of space something takes up. The box has a volume of 12 cubic meters. 体积 Surface area The total area of all sides of a 3D shape. We calculated the surface area of the cube. 表面积 Coordinates Numbers that show a point’s location on a graph. The coordinates of the point are (2,3). 坐标 Polygon A flat shape with straight sides. A triangle is a polygon. 多边形 Prism A solid shape with two identical ends. We studied a rectangular prism in math class. 棱柱 Net (geometry) A flat pattern that can be folded into a 3D shape. We made a cube from its net. 展开图 Data Information or numbers collected for study. We used data from our survey. 数据 Representatio n A way to show something, like a graph or chart. The graph is a visual representation of data. 表示；图 示 Model Something used to show or explain an idea. We built a model of a volcano.7.6E investigage and model how temperature, surface area, and agitation affect the rate of dissolution of solid solutes in aqueous solutionsair mass a large area of air that has uniform temperature, humidity, and pressure. air pressure the force that a column of air applies on the air or a surface below it albedo the measure of the sun's reflectivity on Earth's different surfaces atmosphere the layers of gases surrounding Earth climate average weather conditions in a specific region over a long period of time coriolis effect the movement of wind or currents in a curved path due to Earth's rotation eddy Smaller, temporary loops of swirling water that can travel long distances before dispersing front a boundary between two air masses greenhouse gas a gas in the atmosphere that absorbs part Earth’s outgoing infrared radiation gyre a large circular system of ocean currents. humidity the amount of water vapor in the air hydrosphere system containing all the solid and liquid water on Earth jet stream Narrow bands of high speed wind high in the troposphere that move from west to east land breeze Winds that blow at night from land toward the sea. This is due to the fact that land has a low specific heat capacity and cools faster than water. This creates high pressure over the land at night and thus wind. local winds Winds that blow over short distances polar easterlies cold winds that blow from the east to the west near the North Pole and South Pole. prevailing wind distinct wind patterns caused by differences in pressure and the Coriolis effect sea breeze Winds that blow during the day from the sea toward land. This is due to water having a high specific heat capacity and it does not heat or cool quickly. High pressure then forms over the water during the day and blows toward the land. specific heat capacity The amount of heat that must be added to a substance to increase the tempurature by one degree Celsius storm surge water that has blown outward from the center of a tropical cyclone or hurricane and creates an abnormal rise in ocean waters on the coast surface current Currents near the surface of the ocean. Driven by wind, the Coriolis effect, and continental deflection trade winds Steady winds that flow from east to west between 30°N latitude and 30°S latitude along the equator tropical cyclone a rotating, organized system of clouds and thunderstorms that originates over tropical or subtropical waters typhoon a tropical cyclone occurring in the Pacific Ocean; especially in the region of the Philippines or the China Sea. weather the short-term atmospheric conditions in a given place and time westerlies steady winds that flow from west to east in the middle latitudes (30- 60 Degrees). These impact our weather in the US. wind shear A large shift in wind speed andGot it ✅ — you want all the topics (States of Matter → Temperature → Thermal Energy → Pressure → Gas Laws, etc.) written in the same structured style (definitions, everyday examples, non-examples, short story, daily life connections, MCQs, SAQs). Here’s a full structured lesson flow, starting with States of Matter as you requested: --- 🧊 States of Matter Definition Matter exists in three main states: Solid: Definite shape & volume, particles tightly packed, vibrate in place. Liquid: Definite volume but takes the shape of its container, particles slide past one another. Gas: No definite shape or volume, particles move freely and spread out. Everyday Examples Solid: Ice cubes, table, book. Liquid: Water, milk, juice. Gas: Air in a balloon, perfume spreading, steam. Non-Examples Honey is not a solid → it flows → liquid. A rock is not a liquid → it’s rigid → solid. Water in a closed bottle is not a gas → it stays liquid. Short Story You buy a soda on a hot day: Ice cubes (solid) keep it cold. They melt into liquid water. Bubbles rise as gas carbon dioxide escapes. Everyday Life Connections Freezing water into ice. Boiling soup on the stove. Smell of perfume spreading across a room. MCQs 1. Which state has particles vibrating in place? a) Solid ✅ b) Liquid c) Gas d) Plasma 2. Soda fizzing when opened is: a) Liquid diffusion b) Gas release ✅ c) Solid melting d) Condensation SAQ (Multi-step) You leave an ice cream outside: a) What state does it start in? b) What happens as it melts? c) If left longer, what phase change might occur? d) Which type of energy increases? --- 🌡 Temperature Definition Indicates average kinetic energy of particles. Measured with a thermometer. Heat flows between objects of different temperature. Everyday Examples Fever check with a thermometer. Ice cube cooling a drink. Why metal feels colder than wood at room temperature. Short Story A hot pizza slice cools when left on the table: heat flows from pizza (high T) to air (low T). MCQ Which is true about temperature? a) It measures total energy b) It measures average kinetic energy ✅ c) It is the same as heat d) It doesn’t affect particle motion --- 🔥 Thermal Energy Definition Total of all kinetic and potential energy of atoms in an object. Everyday Examples Large pot of warm soup has more thermal energy than a small hot cup. Heating water → particles move faster. Ice pack absorbs thermal energy from skin. Short Story In winter, sitting near a heater warms you up because air molecules gain kinetic energy and transfer it. MCQ At absolute zero: a) Particles vibrate slowly b) Particles move randomly c) Particles have no movement ✅ d) Particles expand --- ⚡ Kinetic vs Potential Energy Definition Kinetic energy: energy of motion (vibrating, flowing, diffusing). Potential energy: stored in positions/forces (attractions between particles). Everyday Examples Steam in cooker: high kinetic energy. Rubber band stretched: potential energy. Short Story A bouncing ball → kinetic while moving, potential at the top of its bounce. --- 💨 Pressure Definition Force per unit area on a surface. Everyday Examples Drinking with a straw. Bicycle tires feel hard due to air pressure. Bed of nails → force spread out, less pressure. Short Story When you open a soda bottle, pressure is released → fizzing sound and bubbles. --- 🔄 Gas Laws (Thermal Expansion & Charles’ Law) Definition At constant pressure, gas volume ∝ absolute temperature. Everyday Examples Balloon expands in sunlight. Hot air balloon rises. Tires inflate slightly after driving. Short Story A sealed chips bag puffs up on an airplane as air pressure outside decreases. MCQ According to Charles’ Law: a) Volume decreases as temperature increases b) Volume increases as temperature increases ✅ c) Volume is independent of temperature d) Volume and temperature are unrelated --- ✅ This flow covers all your slides in the same Prezi-style (definitions, examples, non-examples, story, life connections, questions). Do you want me to now add full sets of practice (10 True/False, 10 Matching, 10 Write the Term, etc.) for each section, so you’ll have a complete question bank along with the lesson flow? Based on the provided sources, here is a comprehensive extraction of the information regarding the water cycle, energy transfer, and Earth's wind systems, organized into key points: The Water Cycle and Its Reservoirs • Definition: The water cycle is the continuous movement of water among various reservoirs on Earth. • Water Reservoirs: These are storage locations for water and include: ◦ Oceans, seas, and lakes. ◦ Rivers, glaciers, soil, and rocks. ◦ The atmosphere and living organisms. • Total Volume: The total amount of water on Earth does not change, even when it changes state, because it is constantly being replaced or recycled through the cycle. Main Processes and Energy Transfer The movement of water through the cycle is driven by energy (thermal energy from the Sun) and force (gravity and wind). • Energy Gain (Absorption): ◦ Melting: Water changes from a solid state (ice) to a liquid state and gains energy. ◦ Evaporation: Liquid water changes into a gas state (water vapor) by gaining thermal energy. ◦ Transpiration: A specialized type of evaporation occurring in plants where water vapor is released through tiny holes in leaves called stomata. Approximately 10% of water vapor in the air comes from transpiration. • Energy Loss (Release): ◦ Condensation: Water vapor (gas) cools down and changes back into liquid water, releasing energy. ◦ Freezing: Liquid water changes into a solid state (ice) and loses energy. • Other Key Steps: ◦ Precipitation: Water falls back to Earth as rain, snow, sleet, or hail (snow pellets). ◦ Runoff: Water flows over Earth's surface into streams, rivers, and eventually larger bodies of water like oceans. ◦ Collection: Rainwater is collected in different water bodies to start the cycle again. Forces Driving Water Movement • Gravity: The main force that pulls water downward. It is responsible for: ◦ Bringing precipitation (rain and snow) from clouds to the surface. ◦ Moving ice in glaciers from higher to lower elevations. ◦ Causing liquid water to flow downhill into rivers and seas. ◦ Leakage: Pulling liquid water down into the ground to reach groundwater reservoirs. • Wind: Another force that affects water movement and transports water to different locations on Earth. Atmospheric Processes • Cloud Formation: Water vapor attaches to particles such as dust or smoke in the air and condenses into tiny droplets. When millions of these droplets join, they become heavy and fall as rain. • Convection: The transfer of heat in liquids and gases. ◦ Warm air/liquid: Becomes less dense, lighter, and rises upward. ◦ Cold air/liquid: Is more dense, heavier, and moves downward to replace the warm fluid. ◦ This process leads to convection currents, which help determine regional climates and drive wind and ocean currents. Solar Radiation and Climate The amount of solar energy reaching Earth differs from place to place, which affects the weather: • Hottest Regions (Equator): Sun rays fall perpendicular (vertical). Heat is concentrated on a small area, making the weather hot. • Moderate Regions: Sun rays fall semi-inclined. Heat is distributed over a larger area, making the weather warm. • Coolest Regions (Poles): Sun rays fall very slanted (inclined). Heat is spread over a very large area, making the weather very cold. Earth's Wind System • Wind Formation: Wind is generated when warm air (heated by the Sun) rises and is replaced by cooler air flowing from nearby areas. • Factors Affecting Wind: The amount of solar radiation and the rotation of Earth determine global wind directions. • Global Wind Cycle: Unequal heating between the equator and the poles generates a constant wind system. Warm air rises at the equator and moves toward the poles, while cold air from the poles moves toward the equator. • Importance: If there were no wind, the equator would become extremely hot, the poles would freeze solid, and many ecosystems would disappear. Practical Examples • Turkey’s Salt Lake: High evaporation in the summer can turn this large lake into a small puddle or dry it up completely. It is a critical site for flamingos, which migrate there to breed and feed on algae in the shallow, warm water.Surface area of composite solids