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Yanka [14]
3 years ago
11

A prism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 6/5 . What is the volume of the dilated prism?

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
7 0
The formula to find the volume of a prism is V=Bh (Volume = Base x height). Let's plug in the dimensions you were given:

V=Bh
V=(5)(10)
V=50 {tex] ft^{2} [/tex]

To find the new volume of the dilated prism, cube the dilated factor, then multiply by the volume you just found (old volume):

New Volume = (x^{3})(Old Volume)
V = (\frac{6}{5})³·50
V = (\frac{432}{5}
V = 86.4
HACTEHA [7]3 years ago
6 0

Answer:

86.4 ft³

Proof:

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