Question

if the lateral surface area of a cube is 64 cm then what is its volume​

Answer 1

Answer:

Step-by-step explanation:

LSA of Cube = 4a2

64=4a^2

A2= 16

A=4

VOLUME of Cube= a^3

=4^3

=64

Answer 2

Given,

• The lateral surface area of a cube = 64 cm²

To find,

• The volume of the cube

Solution,

If the lateral surface area of a cube is 64 cm² then its volume​ is 64 cm³.

We can simply find the volume of the cube by using the formula,

      The volume of the cube = (side)³     (1)

For finding the side of the cube by its given lateral surface area, we will use the formula of the lateral surface area of a cube.

      The lateral surface area of a cube = 4 * (side)²

                                                            64 = 4 * (side)²

                                                          64/4 = (side)²

                                                               16 = (side)²

                                                                 4 = side

Now, for finding the volume of the cube, we will use (1)

                             The volume of the cube = (4)³

                                                                = 64 cm³

∴ The volume of the cube is 64 cm³.

Hence, if the lateral surface area of a cube is 64 cm² then its volume​ is 64 cm³.