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Pie
3 years ago
9

Identify the volume of the composite figure rounded to the nearest tenth. HELP PLEASE!!

Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

Answer:

V = 115.3 ft³

Step-by-step explanation:

The left part of the figure shows a cube of side length 4.2 ft.  The volume of a cube is V = s³, where s is the side length.  Hence, the volume of this particular cube is V = (4.2 ft)³ = 74.088.

The volume of a pyramid is V = (1/3)(base area)(height).

Here V = (1/3)(4.2 ft)²(7 ft) = 41.16 ft³.

Summing up the two distinct areas, we get V = 41.16 ft³ + 74.088 ft³, or

V = 115.3 ft³ after rounding up to the nearest tenth.

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Given that both trjangles are similar, therefore, it follows that their corresponding side lengths would be proportional to each other. Thus:

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