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lana [24]
2 years ago
13

There are two similar purses. The blue purse has a volume of 837 cm? and the red purse has a volume of 248 cm3, If the width of

the red purse is 15 cm, what is the width of the blue purse?
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
3 0

The width of the blue purse that is similar to the red purse is approximately 50.6 cm.

<h3>How to Determine the Linear Measurement and Volume of Similar Solids?</h3>

If two solids, A and B, has a linear measure a and b respectively, and they are both similar to each other, the ratio of their volumes and their linear measures would be expressed as:

Volume of solid A/volume of solid B = a³/b³.

We are given two purses that are similar to each other:

Volume of Blue purse = 837 cm³

Volume of Red purse = 248 cm³

Width of Red purse = 15 cm

Let width of Blue purse be = x

Therefore we would have the following ratio:

Volume of blue purse/volume of red purse = (width of blue purse)³/(width of red purse)³

Plug in the values

837/248 = x/15

Cross multiply

(248)(x) = (837)(15)

248x = 112,555

Divide both sides by 248

248x/248 = 112,555/248

x = 50.6 cm

The width of the blue purse is approximately 50.6 cm.

Learn more about volume of similar solids on:

brainly.com/question/16599646

#SPJ1

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