Question

The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?

Answer 1

Given:

• The right rectangular prism is made up of 48 cubes.
• Each cube has an edge length of 1/4 inch.

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To Find:

• What is the volume of this prism?

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Solution:

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Using formula:

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• $\sf \pmb {Volume \: of \: cube = {(side)}^{3} }$

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Substituting values in the formula:

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$\sf \longrightarrow \dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}$

$\sf \longrightarrow \dfrac{1}{64} \: {inch}^{3}$

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Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

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$\sf \longrightarrow \dfrac{1}{64} \times 48$

$\sf \longrightarrow \dfrac{48}{64}$

$\sf \longrightarrow \dfrac{3}{4} \: {inch}^{3}$

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Hence,

• Volume of prism is 3/4 inch^3