## Q4. Volume of a cube whose surface area is 486 sq. meter is equal to 729 cu. meter 27 cu. meter 324 cu. meter

Question

Q4. Volume of a cube whose
surface area is 486 sq. meter is
equal to
729 cu. meter
27 cu. meter
324 cu. meter
162 cu. meter​

in progress 0
1 week 2021-09-14T06:29:11+00:00 2 Answers 0 views 0

1. ### GIVEN:

• Surface area of cube = 486 m²

### TO FIND:

• What is the volume of cube ?

### SOLUTION:

Let the side of the cube be ‘x’ m

We know that the formula for finding the Surface area of cube is:-

According to question:

• Side of cube = 9m

To find the volume of cube, we use the formula:-

According to question:

Hence, the volume of cube is 729 m³

## ______________________

2. Given ,

• Surface area of cube = 486 m²

We know that , the total surface area of cube is given by

Thus ,

486 = 6 × (side)²

(side)² = 81

side = √81

side = 9 m

Now , the volume of cube is given by

Thus ,

Volume = (9)³

Volume = 729 m³