Question

Find the volume of a cube whose surface area is 294 metre square​

Answer 1

Volume of cube is 343 cubic metres.

Explanation:

The surface area of a cube is calculated by multiplying the area of one face by 6. Since all the faces of a cube are squares, the area of one face is equal to the square of the side length of the cube.

We are given that the total surface area of the cube is 294 square metres.

So, we can write the following equation:

`\sf 6 * side^2 = 294`

Dividing both sides of the equation by 6, we get:

`\sf side^2 = (295)/(6) = 49`

Taking the square root of both sides, we get:

`\sf side = √(49)`

side = 7 metres

The volume of a cube is calculated by cubing the side length.

So, the volume of the cube in this problem is:

`\sf volume = side^3 = 7^3 = 343` cubic metres

Therefore, the volume of the cube is 343 cubic metres.