If the base perimeter of a cube is 40 cm, then the lateral surface area of the cube in sq. cm is
Answers
Answer: 400sq.cm
Step-by-step explanation: perimeter of base= 40cm
Length of one side = 40/4
= 10 cm
Lateral surface area of a cube = 4a^2
= 4(10)^2
= 4(100)
= 400sq.cm
Given,
The base perimeter of a cube = 40 cm
To find,
The lateral surface area of the cube.
Solution,
The lateral surface area of the cube whose base perimeter is 40 cm is 400 sq cm.
We can simply find the lateral surface area of a cube by using the formula
Lateral surface area of cube = 4 * (side)²
The base perimeter of a cube = 40 cm
Side * 4 = 40
Side = 40/4
Side = 10 cm
The lateral surface area of a cube = 4 * (10)²
= 4 * 100
= 400 sq. cm
Hence, the lateral surface area of the cube whose base perimeter is 40 cm is 400 sq cm.