Question

The surface area of a cube is 1536 cm2. find the volume of its material whose thickness is 5mm.

Answer 1

Let side of cube

=

a

cm

Surface area of cube

=

6

a

2

⇒

6

a

2

=

1536

⇒

a

2

=

25

⇒

a

=

16

cm

Volume

=

a

3

=

4096

c

m

3

Volume of material

=

Surface area

×

thickness

=

1536

×

5

10

=

768cm3

.