Geometry | Unit 5 | Lesson 16: Surface Area and Volume | Practice Problems

These solids all have the same volume. Which has the least surface area?

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CCSS.7.G.B.6

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CCSS.7.G.B.6

Suppose you have 2 pieces of ice with the same volume but in different shapes. If one of the pieces has a greater surface area than the other, it will cool a beverage faster than the ice with less surface area. Describe 2 different pieces of ice that have the same volume, but have different surface areas. Which piece of ice will cool a beverage faster?

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CCSS.6.G.A.4

Suppose this two-dimensional figure is rotated 360 degrees using the vertical axis shown. Each small square on the grid represents 1 square inch. What is the volume of the three-dimensional figure?

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CCSS.6.G.A.4

Technology required. A triangular prism has height 8 units. The base of the prism is shown in the image. What is the volume of the prism? Round your answer to the nearest tenth.

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CCSS.7.G.B.6

A cone-shaped container is oriented with its circular base on the top and its apex at the bottom. It has a radius of 12 inches and a height of 8 inches. The cone starts filling up with water. What fraction of the volume of the cone is filled when the water reaches a height of 2 inches?

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of a pyramid whose base is a square with sides of length 4 units and which has a height of 10 units.

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CCSS.HSG.GMD.A.3

A solid has volume 4 cubic units and surface area 10 square units. The solid is dilated, and the image has volume 108 cubic units. What is the surface area of the image?

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CCSS.6.G.A.4