Question

if the perimeter of each face of a cube is 32cm, find its lateral surface area. note that four faces which meet the base of a cube are called its lateral faces

Answer 1

If perimeter is 32 and perimeter of a square is 4a. ( All sides are equal)
hence a= 32/4= 8cm.
therefore a=8cm.
Tsa of a cube= 6a2 ( 2 is in the superscript)
=384cm2

Answer 2

Answer:

The lateral surface area of the cube is 256 square centimeter.

Step-by-step explanation:

Given : If the perimeter of each face of a cube is 32 cm.

To find : Its lateral surface area?

Solution :

We have given the perimeter of the cube is 32 cm.

We know that,

Perimeter of a cube is

$P=4\times s$

Where, s is the side

$32=4\times s$

$s=\frac{32}{4}=8$

So, The side of the cube is 8 cm.

The lateral surface area of the cube is

$LSA=4s^2$

$LSA=4(8)^2$

$LSA=4\times 64$

$LSA=256cm^2$

Therefore, The lateral surface area of the cube is 256 square centimeter.