What is the volume of the composite figure?

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06-07-2022
Mathematics

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What is the volume of the composite figure?

Sagot :

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akposevictor akposevictor · Answer 1 · 2022-08-19T11:37:23-04:00

The Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid = 4,050 ft³.

How to Find the Volume of a Composite Figure?

The composite figure shown is composed of a square pyramid and a rectangular prism. To find the volume of the composite figure, find the volume of the square pyramid and the volume of the rectangular prims respectively.

Volume of the square pyramid = 1/3(B)(h), where:

Base area (B) = (l)(w) = (15)(15)

Base area (B) = (l)(w) = 225 ft³.

h = 9 ft

Volume of the square pyramid = 1/3(225)(9)

Volume of the square pyramid = 675 ft³.

Volume of the rectangular prism = (length)(width)(height)

Volume of the rectangular prism = (15)(15)(15)

Volume of the rectangular prism = 3,375 ft³.

The Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid

The Volume of the composite figure = 3,375 + 675

The Volume of the composite figure = 4,050 ft³.

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How to Find the Volume of a Composite Figure?

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