
Geometry | Unit 5 | Lesson 16: Surface Area and Volume | Practice Problems
Authored by Illustrative Mathematics
Mathematics
6th Grade
CCSS covered

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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
These solids all have the same volume. Which has the least surface area?
Tags
CCSS.7.G.B.6
2.
OPEN ENDED QUESTION
3 mins • 1 pt
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Tags
CCSS.7.G.B.6
3.
OPEN ENDED QUESTION
3 mins • 1 pt
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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Tags
CCSS.6.G.A.4
4.
OPEN ENDED QUESTION
3 mins • 1 pt
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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Tags
CCSS.6.G.A.4
5.
OPEN ENDED QUESTION
3 mins • 1 pt
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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Tags
CCSS.7.G.B.6
6.
OPEN ENDED QUESTION
3 mins • 1 pt
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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Tags
CCSS.HSG.GMD.A.3
CCSS.8.G.C.9
7.
OPEN ENDED QUESTION
3 mins • 1 pt
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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Tags
CCSS.HSG.GMD.A.3
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