Question

A cube has a surface area of 37 1/2. What's the volume?

Answer 1

Here's the solution,

let the sides of cube be a

now, we know

Surface area =

$6 {a}^{2}$

So,

=》

$6 {a}^{2} = 37 \dfrac{1}{2}$

=》

$6 {a}^{2} = 37.5$

=》

${a}^{2} = \dfrac{37.5}{6}$

=》

${a}^{2} = 6.25$

=》

$a = \sqrt{6.25}$

=》

$a = 2.5 cm$

Each side of cube measures 2.5 cm

volume :

=》

${a}^{3}$

=》

$2.5 \times 2.5 \times 2.5$

=》

$15.625$

=》

$15 \dfrac{5}{8} \: cm {}^{3}$