Mathematics: Aprism 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.

Aprism with a volume of 360 yd³ is scaled down

mbarber3994

14.01.2022

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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arieltaylor3924

01.05.2023

gg thanks

Step-by-step explanation:

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