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The area of the top face of a cube is 16 square inches. Use 8 of these cubes to make a rectangular

prism. What is the volume of the rectangular prism? Hint: The shape of each face of a cube is a
square.

1 Answer

6 votes

Answer:

The volume of the rectangular prism is 512 inches³

Explanation:

Any cube has 6 square faces

Area of any square = L × L, where L is a length of each side

The volume of the cube = L × L × L

∵ The area of the top face of a cube = 16 inches²

→ Find which number multiply by itself = 16

∵ 16 = L × L

∵ 16 = 4 × 4

L = 4 inches

Let us find the volume of 1 cube

∵ The volume of the cube = L × L × L

∵ L = 4 inches

∴ The volume of each cube = 4 × 4 × 4

The volume of each cube = 64 inches³

∵ We will use 8 of this cube to make a rectangular prism

→ That means the volume of the rectangular prism is 8 times

the volume of 1 cube

∴ The volume of the prism = 8 × volume of 1 cube

∵ The volume of each cube = 64 inches³

∴ The volume of the prism = 8 × 64

The volume of the prism = 512 inches³

The volume of the rectangular prism is 512 inches³

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