Question

If the total surface area of a cube is numerically equal to its volume, then what is the lateral surface area of the cube in sq units?

Answer 1

Answer:

your answer

Step-by-step explanation:

Given volume of a particular cube is numerically equal to its total surface area of it.

Let edge of cube be x

Formula of volume of cube is side

3

.

Formula for total surface area is 6 side

2

.

As per question, length of one side or edge will be

6 side

2

= side

3

∴ side =6

Length of one edge of cube will be 6.

Answer 2

Answer:

Given,

The total surface area of the cube = The volume of the cube

To find,

The lateral surface area of the cube.

Solution,

Let, the length of the each sides of the cube = a unit [Assume, a as a variable to do the further mathematical calculations.]

Total surface area of the cube = 6a² sq.unit

Volume of the cube = a³ unit 3

According to the data mentioned in the question,

6a² = a³

6 = a

Or, a = 6

Length of the side of the cube = 6 unit Lateral surface area = 4 x (side)? = 4x(6)² =144 sq.unit

Hence, the lateral surface area of the cube is 144 sq.unit.

Step-by-step explanation:

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