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STatiana [176]
3 years ago
9

A prism with a base area of 8 cm^2 and a height of 6 cm is dilated by a factor of 5/4.

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
6 0

Answer:

93.75cm^3

Step-by-step explanation:

First, calculate the volume of the original prism using;

v=base\:area\times height

\Rightarrow v=8\times 6

\Rightarrow v=48cm^3

Next, find the volume of the dilated prism by multiplying the original prism by;

k^3=\frac{125}{64}

Volume of dilated prism;

V=\frac{125}{64}\times 48

V=93.75.0cm^3

Mnenie [13.5K]3 years ago
3 0
<h2>Answer:</h2>

<u>The dilated volume will be </u><u>93.75 cm³</u>

<h2>Step-by-step explanation:</h2>

Let us first find the original volume

Original volume  =  8 * 6  = 48 cm³

Now

The original volume will increase by a cube of the scale factor  because it is a prism

So

48 * (5/4)³  

=  [48 * 125] / 64  

=  [48/64] * 125  

= (3/4) * 125  

= 93.75 cm³

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