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

Answer:

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

Step-by-step 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.