Mathematics: Aprism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32 . what is the volume of the dilated prism? enter your answer, as a decimal, in the box. the answer is 40.5, because i m taking the test right now.

Aprism with a base area of 3 m² and a height of

Ответ:

paytonpaige22

15.03.2022

ANSWER

$40.5 {m}^{3}$

EXPLANATION

The given prism has a base area of 3m² and a height of 4m.

The volume of this prism is,

$= base \: area \times \: height$

$= 3 \times 4 {m}^{3}$

$=12{m}^{3}$

If this prism prism is dilated by a scale factor of

$k = \frac{3}{2}$

The scale factor for the volume becomes,

${k}^{3} = \frac{27}{8}$

We multiply the volume of the given prism by the scale factor of the volume to obtain the volume of the dilated prism to be,

$= 12 \times \frac{27}{8} {m}^{3}$

$=40.5{m}^{3}$

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Ответ:

Riplilpeep

18.04.2021

Mathematics

Step-by-step explanation:

Can not be the first 2. People must come first. 44 is the people.

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Aprism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32 . what is the volume of the dilated prism? enter your answer, as a decimal, in the box. the answer is 40.5, because i'm taking the test right now.

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