# Determining Volume of Solid Figures

## Quiz by SIERRA MARIE ASERAL

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- Q1
1. Claire makes models to show the relationship between the volume of a rectangular prism and the volume of a rectangular pyramid. The rectangular prism model has a base area of 8 square inches and a height of 12 inches. She also makes a rectangular pyramid with a base and height congruent to the corresponding parts of the prism. Which conclusion is INCORRECT about the relationship between the volumes of the models?

B. The volume of the rectangular pyramid is one-third the volume of the rectangular prism.

C. The volume of the rectangular prism is three times the volume of the rectangular pyramid.

A. The volume of the rectangular prism is triple the volume of the rectangular pyramid.

D. The volume of the rectangular pyramid is three times the volume of the rectangular prism.

30s - Q2
2. Dino has a cone-shaped container that he fills with water. He pours the water into the cylindrical shaped container. Both containers have the same height and bases. Which of the following statements is CORRECT after he pours the water from the cone to the cylinder?

A. The cylindrical shaped container is completely filled with water.

C. One-third of the volume of the cylindrical container is not filled with water.

D. Two-thirds of the volume of the cylindrical container is not filled with water.

B. Only three-fourths of the volume of cylindrical container is filled with water.

30s - Q3
3. A spherical tank for natural gas has a volume of about 1500 m3. How will you compare its volume to a cylindrical type of tank having the same dimensions?

A. The volume of the spherical tank is two-thirds of the volume of the cylindrical tank.

B. The volume of the spherical tank is greater than the volume of the cylindrical tank.

C. The volumes of the spherical and the cylindrical tanks are the same.

D. The volume of the spherical tank is one-third of the volume of the cylindrical tank.

30s - Q4
4. The area of the base of a rectangular prism is 15 m2 and the height measures 5 m. What is the volume of the pyramid with the same dimensions as the rectangular prism?

C. The volume of pyramid is 45 m.cu.

B. The volume of pyramid is 35 cu. m.

D. The volume of pyramid is 55 cu. m.

A. The volume of pyramid is 25 cu. m.

30s