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2 years ago

Identify the volume of the composite figure rounded to the nearest tenth.

Mathematics

1 answer:

Verdich [7]2 years ago

6 0

Answer:

Step-by-step explanation:

The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.

The volume of the cube on the left is given by ...

V = s³

V = (4.2 ft)³ = 74.088 ft³

<h3>Pyramid</h3>

The volume of the pyramid on the right is given by ...

V = 1/3Bh . . . . . where B is the area of the square base

V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³

<h3>Total</h3>

The volume of the composite figure is the sum of these volumes:

cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³

The volume of the composite figure is about 115.2 ft³.

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