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Dvinal [7]
3 years ago
6

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

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

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.

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