Question

The total surface area of a cube is 1350 sq.m. Find its volume.​

Answer 1

Step-by-step explanation:

Given total surface area of cube =1350sqm

Let the side of the cube is s meter

Then the surface area of cube =6s

2

=1350

⇒s

2

=225

⇒s=15 m

Then side is 15 m

Then volume of cube =s

3

=(15)

3

=3375m

Answer 2

TSA of cube = 1350 m²

We know,

$\tt{TSA = 1350} \\ \\ \tt {6(side)}^{2} = 1350 \\ \\ \tt {(side)}^{2} = \frac{1350}{6} \\ \\ \tt \: side \: = \sqrt{225} \\ \\ \sf \: side \: = 15 \: cm$

Thus,

• Volume of cube = (side)³ = (15)³ = 3375 cm³