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andreev551 [17]
3 years ago
15

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

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0
First we need to find the volume of the prism without the dilated factor:

The volume would be:
Volume of the prism(without dilated) = (area of the base) * (height)
Since,
Area of base = 5ft^{2}
Height of the prism = 10f

Volume(without dilated) = 5*10 = 50ft^{3}

Now let us apply the dilated factor! For that you need to multiply for factor with the volume of the prism without dilation.

Volume of the dilated prism = d^{3} * (Volume of the prism without dilation)

Where d = dilated factor. Therefore,

v =  (\frac{6}{5} )^{3} * 50


v = 86.4ft^{3}

So the correct answer: 86.4ft^{3}


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