A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.

Question

19-02-2017
Mathematics

Answered

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.

Verified Answer :

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taskmasters taskmasters · Answer 1 · 2017-03-04T08:35:08-05:00

The volume of the original prism is calculated by multiplying the area of the base by the height,
volume = (8 cm²)(6 cm) = 48 cm³
By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,
x / 48 cm³ = (5/4)³
The value of x from the equation above is equal to 93.75 cm³.

YungBoi12 YungBoi12 · Answer 2 · 2020-02-06T21:31:34-05:00

YungBoi12 YungBoi12

06-02-2020

Answer:

93.75 cm cubed

Step-by-step explanation:

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A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .What is the volume of the dilated prism?Enter your answer, as a decimal, in the box.

Verified Answer :

Related Questions

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.