Answered

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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 54. What is the volume of the dilated prism? Enter your answer, as a decimal, in the box. Cm³.

Sagot :

ashishdwivedilVT

The volume of the dilated prism is calculated to be considering scale factor for the area as well as the height is 7558272 cm³.

What is the dilation or scale factor?

The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object).

Given that

The base area of prism = 8 cm²

Height of the prism = 6

Scale factor = 54

So enlarged area =( scale factor )² * previous area = 54²* 8 = 23328 cm²

Enlarged height = 54*6= 324 cm

Enlarged volume = enlarged area* enlarged height = 7558272 cm³

Thus, the volume of the dilated prism is 7558272 cm³.

To get more about dilation refer to:

https://brainly.com/question/25722260

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