Question

A cube has a volume of 8 ft³. What is its edge length?

Answer 1

2ft. Area of cube is LxWxH and all sides are equal since cubes are made of squares!

Answer 2

Let's call x the edge length of that cube.

The volume V of a cube with edge length x is:

V = x³

We know that the volume of that cube is V = 8 ft³. So, in order to find the edge length x, we can replace V by 8 ft² in the above relation:

V = x³

8 ft³ = x³

Now we can rewrite 8 as 2³ since

2³ = 2 * 2 * 2 = 8

So, we find:

8 ft³ = x³

2³ ft³ = x³

Now, since 2³ and ft³ have both the same exponent, we can write:

2³ ft³ = (2 ft)³

So, we have:

(2 ft)³ = x³

And since we have the same odd exponent for both sides of the equation, the basis must be the same:

2 ft = x

x = 2 ft

Therefore, the edge length is 2 ft.