Question

if the lateral surface area of a cube is 600cm2, then the total surface area is
1) 150 cm 2
2) 400 cm 2
3) 900 cm 2
4) 1350 cm 2​

Answer 1

Step-by-step explanation:

900 cm2 4a2 = 600 cm2 Read more on Sarthaks.com - https://www.sarthaks.com/975211/if-the-lateral-surface-area-of-cube-is-600-cm-then-the-total-surface-area-is-150-cm-400-cm-900-cm

Answer 2

We are given a cube whose total surface area is 600 cm2.

For finding the length of the cube, we will compare this given T. S. A. with the formula of total surface area of the cube as 6L2.

⇒600 = L2

Or, we can write it as

⇒100 = L2

Taking square roots both the sides, we get

⇒L = 10 units

Now, when we have calculated the length of the cube, it is easier for us to find the value of the lateral surface area of the cube.

The formula of the lateral surface area of the cube L. S. A. is 4L2.

Substituting the value of L in this formula, we get

⇒L. S. A. of the cube = 4 ×(10)2.

⇒L. S. A. of the cube = 4×100 = 400 cm2.

Hence, the lateral surface area of the cube is found to be 400 cm2.