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2 years ago

Find the surface area of the composite solid. Round your answer to the nearest hundredth.

Mathematics

1 answer:

iogann1982 [59]2 years ago

6 0

The surface area of the composite solid is 579.84 square feet

<h3>How to determine the surface area of the solid?</h3>

The composite solid that completes the question is added as an attachment

From the attached figure, we have the following figures:

Rectangular prism
Cylinder

The surface area of a rectangular prism is

A = 2(lw + lh + wh)

Using the dimensions of the prism, we have:

A = 2(6 * 11 + 6 * 8 + 8 * 11)

This gives

A = 404

The surface area of a cylinder is

A = 2πr^2 + 2πrh

Using the dimensions of the cylinder, we have:

A = 2 * 3.14 * 4^2 + 2 * 3.14 * 4 * 5

Evaluate

A = 226.08

The area of the circle between both shapes is

A = πr^2

This gives

A = 3.14 * 4^2

A = 50.24

The surface area of the composite solid is then calculated as:

Surface area = Area of rectangular prism + Area of cylinder - Area of circle

This gives

Surface area = 404 + 226.08 - 50.24

Evaluate

Surface area = 579.84

Hence, the surface area of the composite solid is 579.84 square feet

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