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barxatty [35]
4 years ago
13

I need some assistance on this

Mathematics
1 answer:
Elena L [17]4 years ago
8 0

Answer:

1650

Step-by-step explanation:

The shape is a pyramid on top of a prism.

Volume of a pyramid is V = ⅓ Ah, where A is the area of the base and h is the height of the pyramid.

Volume of a prism is V = Ah, where A is the area of the base and h is the height of the prism.

The base of both shapes is a right triangle.  The area is:

A = ½ bh

A = ½ (22) (10)

A = 110

The height of the prism is 6.  The height of the pyramid is 33 − 6 = 27.  The total volume is:

V = (110) (6) + ⅓ (110) (27)

V = 1650

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