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41 questions
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- Q1A regular pyramid has a square base. The perimeter of the base is 36 inches and the height of the pyramid is 15 inches. What is the volume of the pyramid in cubic inches?1801215405540300sGEO-G.GMD.A
- Q2The base of a pyramid is a rectangle with a width of 4.6 and a length of 9. What is the height of the pyramid if its volume is 82.8?26918300sGEO-G.GMD.A
- Q3As shown in the diagram, the radius of a cone is 2.5 cm and its slant height is 6.5 cm. How many cubic centimeters are in the volume of the cone?30π12.5π37.5π13.5π300sGEO-G.GMD.A
- Q4What is the volume of a hemisphere that has a diameter of 12.6 cm, to the nearest tenth of a cubic centimeter?523.71047.44189.68379.2300sGEO-G.GMD.A
- Q5A cone has a volume of 108π and a base diameter of 12. What is the height of the cone?34927300sGEO-G.GMD.A
- Q6Jaden is comparing two cones. The radius of the base of cone A is twice as large as the radius of the base of cone B. The height of cone B is twice the height of cone A. The volume of cone A isfour times the volume of cone Bequal to half the volume of cone Bequal to the volume of cone Btwice the volume of cone B300sGEO-G.GMD.A
- Q7The pyramid shown has a square base, a height of 7, and a volume of 84. What is the length of the side of the base?1218636300sGEO-G.GMD.A
- Q8A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height?1.24.73.514.1300sGEO-G.GMD.A
- Q9A solid metal prism has a rectangular base with sides of 4 inches and 6 inches, and a height of 4 inches. A hole in the shape of a cylinder, with a radius of 1 inch, is drilled through the entire length of the rectangular prism. What is the approximate volume of the remaining solid, in cubic inches?19967793300sGEO-G.GMD.A
- Q10As shown in the diagram, a regular pyramid has a square base whose side measures 6 inches. If the altitude of the pyramid measures 12 inches, its volume, in cubic inches, is14472432288300sGEO-G.GMD.A
- Q11A company is creating an object from a wooden cube with an edge length of 8.5 cm. A right circular cone with a diameter of 8 cm and an altitude of 8 cm will be cut out of the cube. Which expression represents the volume of the remaining wood?(8.5)^3 - π (8)^2 (8)(8.5)^3 - π (4)^2 (8)(8.5)^3 - 1/3 π (8)^2 (8)(8.5)^3 - 1/3 π (4)^2 (8)300sGEO-G.GMD.A
- Q12A fish tank in the shape of a rectangular prism has dimensions of 14 inches, 16 inches, and 10 inches. The tank contains 1680 cubic inches of water. What percent of the fish tank is empty?25107550300sGEO-G.GMD.A
- Q13The Great Pyramid of Giza was constructed as a regular pyramid with a square base. It was built with an approximate volume of 2,592,276 cubic meters and a height of 146.5 meters. What was the length of one side of its base, to the nearest meter?2301337377300sGEO-G.GMD.A
- Q14Tennis balls are sold in cylindrical cans with the balls stacked one on top of the other. A tennis ball has a diameter of 6.7 cm. To the nearest cubic centimeter, what is the minimum volume of the can that holds a stack of 4 tennis balls?282236564945300sGEO-G.GMD.A
- Q15When volleyballs are purchased, they are not fully inflated. A partially inflated volleyball can be modeled by a sphere whose volume is approximately 180 in^3. After being fully inflated, its volume is approximately 294 in^3. To the nearest tenth of an inch, how much does the radius increase when the volleyball is fully inflated?Users enter free textType an Answer300sGEO-G.GMD.A
