Question

The surface area of a cubical box is 150cm^2. Find its volume?

Answer 1

The volume of a cubical box is "125 $cm^{3}$".

Step-by-step explanation:

Let each side of cubical box be a cm.

Given,

The surface area of a cubical box = 150 $cm^{2}$

Then,  the surface area of a cubical box = 6$a^{2}$  $cm^{2}$

⇒ 6$a^{2}$ = 150

⇒ $a^{2}$ = $\dfrac{150}{6}$ = 25

⇒ $a^{2}$ = $5^{2}$

∴ a = 5 cm

∴ The volume of a cubical box = $a^{3}$ $cm^{3}$

= $5^{3}$ $cm^{3}$

= 125 $cm^{3}$

Hence,  the volume of a cubical box is 125 $cm^{3}$.