Yoshisboss07
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A prism with a base area of 8 cm^2 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.

Respuesta :

kudzordzifrancis

Answer:

[tex]93.75cm^3[/tex]

Step-by-step explanation:

First, calculate the volume of the original prism using;

[tex]v=base\:area\times height[/tex]

[tex]\Rightarrow v=8\times 6[/tex]

[tex]\Rightarrow v=48cm^3[/tex]

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

[tex]k^3=\frac{125}{64}[/tex]

Volume of dilated prism;

[tex]V=\frac{125}{64}\times 48[/tex]

[tex]V=93.75.0cm^3[/tex]

zainebamir540

Answer:

The dilated volume will be 93.75 cm³

Step-by-step explanation:

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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