Question

A cube has a side length of 1/2 foot.

What is the cube's surface area and volume?
Surface area:
volume:​

Answer 1

Volume :
`V = ((1)/(2) ft)^3 = (1)/(8) ft^3 = 0.125 ft^3`

Surface area:
`SA = 6 ((1)/(2) ft)^2 = 6 ((1)/(4)) ft^2= (6)/(4) ft^2 = (3)/(2) ft^2 = 1.5 ft^2`

Explanation:

We asume for this case we have have a cube with a side length of
`1/2 ft` and we want to find the volume and the surface area.

We can begin finding the volume using the fact the all the sides in a cube are equal and the volume is given by:

`V = L^3`

And replacing we got:

`V = ((1)/(2) ft)^3 = (1)/(8) ft^3 = 0.125 ft^3`

The surface area is given by:

`SA= 6 L^2`

Because in a cube we have 6 sides with the same area
`L^2` and replacing we got:

`SA = 6 ((1)/(2) ft)^2 = 6 ((1)/(4)) ft^2= (6)/(4) ft^2 = (3)/(2) ft^2 = 1.5 ft^2`