Question

A cube has a surface area of 294 sq. in. What is the length of its sides?

Answer 1

The surface area of a cube is:

A=6s^2, where s is the length of a side.

6s^2=A

s^2=A/6

s=√(A/6), we are given that the area is 294in^2 so:

s=√(294/6)

s=√49, since s>0

s=7in

So the side length of the cube is 7 inches.

Answer 2

7 inches is the length of its sides

Explanation:

Surface area (A)of cube is given by:

`A = 6s^2` ......[1]

where,

s is the length of the side of a cube.

As per the statement:

A cube has a surface area of 294 sq. in.

⇒
`A = 294 in^2`

Substitute in [1] we have;

`294 = 6s^2`

Divide both sides by 6 we get;

`49 = s^2`

⇒
`√(49) = x`

⇒7 =x

or

x= 7 inches

Therefore, 7 inches is the length of its sides