Question

The diagonal of a cube is 16 root 3 cm.find its surface area and volume.

Answer 1

given
√3 *a=16*√3
so, a=16cm
TSA =6*a^2
=1536 sq.cm
volume=a^3
=16*16*16
=4096 cub.cm

Answer 2

Answer:

$T.S.A=1536 cm^2$

$V=4096 cm^3$

Step-by-step explanation:

Given : The diagonal of a cube is $16\sqrt{3}$ cm.

To find : The surface area and volume.

Solution :

Formula to find diagonal of a cube is $D=\sqrt{3}a$

We have given $D=16\sqrt{3}$

Substitute in the formula,

$16\sqrt{3}=\sqrt{3}a$

$a=\frac{16\sqrt{3}}{\sqrt{3}}$

$a=16$

The side of the cube is 16 cm.

The total surface area of the cube is $T.S.A=6a^2$

Side a=16 substitute in the formula,

$T.S.A=6\times 16^2$

$T.S.A=6\times 256$

$T.S.A=1536 cm^2$

The volume of the cube is $V=a^3$

Side a=16 substitute in the formula,

$V=16^3$

$V=4096 cm^3$