2 Answers

RPK · Answer 1 · 2020-12-18T11:15:43+0000

Answer:

$\large\boxed{V=42(7)/(8)\ ft^3}$

Explanation:

The formula of a volume of a cube:

V=a^3

a - edge

We have

$a=3(1)/(2)\ ft$

Convert to the improper fraction:

$a=(3\cdot2+1)/(2)=(7)/(2)\ ft$

Substitute to the formula of a volume:

$V=\left((7)/(2)\right)^3=(7^3)/(2^3)=(343)/(8)=42(7)/(8)\ ft^3$

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