Geometry | Unit 5 | Lesson 17: Volume and Density | Practice Problems

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The density of water is 1 gram per cm³. An object floats in water if its density is less than water’s density, and it sinks if its density is greater than water’s. Will a toy in the shape of a rectangular prism that is 1 centimeter by 2 centimeter by 2 centimeter with mass 3 grams sink or float? Explain your reasoning.

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A cube and a sphere both have volume 512 cubic units. Which solid has a greater surface area? Explain your reasoning.

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Give the dimensions of 2 solids with equal surface area and different volume.

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• 5 units

• 12 units

• 13 units

• 15 units

A pyramid has a height of 4 inches and a volume of 40 cubic inches. Select all figures that could be the base for this pyramid.

• a 5 inch by 2 inch rectangle

• a 3 inch by 10 inch rectangle

• a triangle with height 10 inches and base 3 inches

• a right triangle with one side 5 inches and the hypotenuse 13 inches

• a heart with area 30 square inches

• a square pyramid

• a triangular pyramid

• a triangular prism

• a rectangular prism

• a cylinder

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