Question

Total surface area of a cube is 1014cm^2. It's volume will be :

Answer 1

Answer:

$V=2197\ cm^3$

Step-by-step explanation:

Surface Area and Volume of a Cube

Given a cube of side length a, the surface area is:

$A = 6a^2$

The volume is calculated as:

$V=a^3$

It's given the surface area of a cube:

$A=1014\ cm^2$

We can find the side length a by solving for a:

$\displaystyle a=\sqrt{\frac{A}{6}}$

$\displaystyle a=\sqrt{\frac{1014}{6}}$

$\displaystyle a=\sqrt{169}$

a = 13 cm

Now compute the volume:

$V=13^3$

$\boxed{V=2197\ cm^3}$

Answer: a) 2197 cm^3