Question

If the total surface area of a cube is 2400 cm2

then, find its lateral surface

area. ​

Answer 1

Answer:

Lateral Surface Area Of The Cube = 1600 cm^2

Given:

Total surface area of the cube = 2400 cm^2

To Find:

Lateral Surface Area Of The Cube

Calculating:

Formula used to calculate the total surface area of a cube:

= 6a^2

According to the question:

=> 6a^2 = 2400

=> a^2 = 2400 / 6

=> a^2 = 400

=> a = \sqrt{400}

400

= 20 cm

Therefore, measurement of one side of the cube is 20 cm.

The formula that is used to calculate the lateral surface of cube:

= 4a^2

Substituting the values into this formula we get:

= 4 x 20 x 20

= 80 x 20

= 1600 cm^2

Therefore, the lateral surface of the cube is 1600 cm^2.

MARK ME AS BRILLIANT

Answer 2

Answer:

Total Surface Area of Cube = 6a²

2400 = 6a²

2400÷ 6 = a²

a = 20

Lateral Surface Area of Cube = 4a²

= 4×(20)²

= 4× 400

= 1600