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10.

9.
1. The rectangular prism below has a
volume of 288 cubic centimeters. If the
area of the base is 12 square
centimeters, what is the height of the
prism?
6. A rectangular pyramid has a volume
of 2,050 cubic centimeters. If the base
area of the rectangular pyramid 300
square centimeters, what is the height of
the pyramid?

10. 9. 1. The rectangular prism below has a volume of 288 cubic centimeters. If the-example-1
User Toddk
by
8.2k points

1 Answer

1 vote

Explanation:

the volume of a regular shape is always

ground area × height

9.

so, the ground area is 12 cm².

the whole volume is 288 cm³.

therefore,

288 = 12 × height

height = 288/12 = 24 cm.

10.

we do this almost exactly the same way.

but here we have no regular shape (uniform from the bottom to the top). we have a pyramid.

the volume for a pyramid is

ground area × height / 3.

the ground area is 300 cm².

the volume is 2,050 cm³.

2,050 = 300 × height / 3.

6,150 = 300 × height.

height = 6150/300 = 20.5 cm

User Ali Akbar Afridi
by
7.5k points