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A prism with a volume of 360 yd³ is scaled down to a volume of 45 yd³.




What is the scale factor?


Enter your answer, as a decimal or a fraction in simplest form, in the box.

Verified Answer :

rarrininger

45/360 and reduce
45/360 =15/120 = 5/40 = 1/8

The scale factor is 1/8

JeanaShupp

Answer: The scale factor is 0.125.

Step-by-step explanation:

Given: The volume of the prism=\(360\ yd^3\)

The scaled volume of the prism=\(45\ yd^3\)

We know that when we scaled a shape by a scale factor k, then we multiply k to the dimension of the original shape.

So, to find the scale factor k, we need to the divide the scaled volume  by the volume of prism , we get

\(k=\frac{\text{scaled volume of the prism}}{\text{volume of the prism}}=\frac{45}{360}=\frac{1}{8}=0.125\)

Hence, the scale factor k = 0.125

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