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The area of one face of a cube is 144 square inches.what is the volume of the cube?

User K S Nidhin
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2 Answers

17 votes
17 votes

Check the picture below.


(s)(s)=144\implies s^2=144\implies s=√(144)\implies s=12 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of the cube}}{(s)(s)(s)\implies s^3}\implies 12^3\implies 1728~in^3

The area of one face of a cube is 144 square inches.what is the volume of the cube-example-1
User Shum
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2.3k points
20 votes
20 votes

Answer:

1728 in³

Explanation:

Given that,

→ Area = 144 sq in

Then the length will be,

→ a² = 144

→ a = √144

→ [ a = 12 ]

Formula we use,

→ V = a³

Now required volume will be,

→ a³ = 12³

→ 12 × 12 × 12

→ 1728 in³

Hence, the volume is 1728 in³.

User Rain Man
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2.7k points