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A prism is completely filled with 1120 cubes that have edge lengths of 1/2 in. What is the volume of the prism?

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Answer:

Volume of the prism = 140 cubic inches.

Explanation:

The edge length of the cube is 1/2 inches.

The volume of the cube is given by


\text{Volume}=(\text{edge})^3\\\\V=(1/2)^3\\\\V=0.125

Now, it has been given that there are 1120 cube is completely filled in the prism. Hence, we have to the multiply the volume by 1120.

Volume of the prism = 1120 × 0.125

Volume of the prism = 140 cubic inches.

User Ettore Galli
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