Question

The Fabric storage box below is shaped like a rectangular prism how much fabric is needed to cover the exterior of the box

Answer 1

2952 square centimeters are needed to cover the exterior of the box.

Explanation:

We need to cover five external faces of the box. The surface area formula (
`A_(s)`), measured in square centimeters, is derived from surface area formula for parallelpiped:

`A_(s) = w\cdot l + 2\cdot w\cdot h + 2\cdot l \cdot h` (1)

Where:

`w` - Width, measured in centimeters.

`l` - Length, measured in centimeters.

`h` - Height, measured in centimeters.

If we know that
`w = 36\,cm`,
`l = 23\,cm` and
`h = 18\,cm`, then the outer surface area of the storage is:

`A_(s) = (36\,cm)\cdot (23\,cm)+2\cdot (36\,cm)\cdot (18\,cm)+2\cdot (23\,cm)\cdot (18\,cm)`

`A_(s) = 2952\,cm^(2)`

2952 square centimeters are needed to cover the exterior of the box.