Question

If TSA area of a cube is 1014sq cm find the lateral surface area and main diagonal of the cube??​

Answer 1

Class 9

>>Maths

>>Surface Areas and Volumes

>>Volume of Cube, Cuboid and Cylinder

>>Surface area of a cube is 1...

Question

Bookmark

Surface area of a cube is 1014 sq cm. Its volume will be:

Medium

Solution

verified

Verified by Toppr

Correct option is

A

2197 cu. cm

We know, Surface area of a cube 6×(side)

2

.

Given, surface area of the cube =1014 sq. cm.

∴6×(side)

2

=1014

⇒(side)

2

=

6

1014

=169

⇒side=

169

=13cm.

∴ Volume of the cube=(side)

3

=(13)

3

=2197 cu. cm.

A

2197 cu. cm

We know, Surface area of a cube 6×(side)

2

.

Given, surface area of the cube =1014 sq. cm.

∴6×(side)

2

=1014

⇒(side)

2

=

6

1014

=169

⇒side=

169

=13cm.

∴ Volume of the cube=(side)

3

=(13)

3

=2197 cu. cm.