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:

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 side3.

Formula for total surface area is 6 side2.

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

6 side 2= side3

∴ side =6

Length of one edge of cube will be 6.

Step-by-step explanation:

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Answer 2

Given : total surface area of a cube is numerically equal to its volume

To find  :  lateral surface area of the cube in sq units​

Solution:

Let say side of cube = a   unit

Volume of cube = a³  cubic units

Total surface area of cube = 6a²  sq units

a³ = 6a²

=> a = 6

lateral surface area of the cube  = 4a²

=>  lateral surface area of the cube  = 4(6)² sq units

=>  lateral surface area of the cube  = 144 sq units

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