Question

LSA of a cube is 100 cm. Find its volume.
For class 8th

Answer 1

Answer:

125 cm2

Step-by-step explanation:

lateral surface area of cube = 4a2 where a be the each edge of cube of cube

Answer 2

Question:

LSA of a cube is 100 cm. Find its volume.

Given:

LSA of cube = 100cm

To Find:

Volume of Cube

Formula Used:

• LSA = 4a²

• Volume = s³

Solution:

Finding side of cube :

$\textsf{Given LSA of cube = 100cm} \\\\\textsf{But LSA=4a}^2\\\\\textsf{LSA=4a}^2=100$

$a^2=100\div4\\\\a^2=25\\\\a=\sqrt{25} \\\\a=5$

Finding volume of cube :

$\textsf{Volume of cube=}s^3$

$\textsf{Volume of cube =}s^3\\\\\textsf{Volume of cube =}5^3\\\\\textsf{Volume of cube =}5\times5\times5\\\\\textsf{Volume of cube =}125cm^3$

• Volume of cube = 125cm³

Answer:

Volume of cube = 125cm³