Question

This figure represents a large storage container that will be built out of a new durable material. The storage company needs 8 of these containers.
How much of the new material is needed to build all 8 containers?

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ft²
Right pentagonal prism. The height of the prism is 8 ft. The base has two pairs of parallel sides. The sides are consecutively labeled 5 ft, 3 ft, 5 ft, 2 ft, and 7 ft. The parallel sides are those labeled 3 ft and 7 ft, and 5 ft and 2 ft.

Answer 1

The amount of material needed for the containers is its surface area

The amount of material needed for the 8 containers using the assumed parameters is 3080 square feet

How to determine the amount of material?

The question is incomplete, as the figure of the right pentagonal prism is not given.

So, I will provide a general explanation.

The surface area (SA) of a right pentagonal prism is:

SA = 5b(a + h)

Where:

• b represents the base length
• a represents the apothem
• h represents the height

From the question, we have the height of the prism to be 8 ft.

Assume that:

a = 3 ft and b = 7 ft

The equation becomes

SA = 5 * 7 * (3 + 8)

Evaluate the product

SA = 385

The amount of material needed for the 8 containers would be:

Amount = 8 * 385 square feet

Amount = 3080 square feet

Hence, the amount of material needed for the 8 containers using the assumed parameters is 3080 square feet

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