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nekit [7.7K]
3 years ago
7

Can you plzz find the width...and give steps

Mathematics
2 answers:
Rudik [331]3 years ago
6 0
The width will be 12 inches for Joy’s toy chest

Step 1. Find the volume of the Son’s chest:
(It is a rectangular prism) 30 x 16 x 24 =
11,520 cubic inches

I used the formula length x width x height.

Step 2. Make an equation to solve for the volume of the chest the daughter will have:
24 x 40 x w = 11,520 in2
11,520 because its said that the two chests should be teh same volume.

Step 3. Multiply the two dimensions of the daughters chest and divide it by the volume of the son’s chest:
11, 520/24 x 40 = 12
We divide it because we use the same formula for the volume of the rectangular prism, so to find the width, divide the length x height by the volume (this is proportionality)

Lets check it:
Volume of daughter’s chest:
12 x 40 x 24 = 11,520

Volume of Son’s chest:
30 x 16 x 24= 11,520

HAVE A NICE DAY

kati45 [8]3 years ago
4 0

Answer:

<u><em>12</em></u>

Step-by-step explanation:

We know that Tyler's chest has a length of 30 inches, width of 16, and a height of 24 inches. To find the volume of the chest, multiply the length by width by height: 24*30*16 = 11,520 in^3 The volume is 11,520.

Juliet's chest will Have a length of 40 inches and the same height as Tyler's chest, or 24 inches. It also has the same volume of Tyler's chest, or 11,520

So Tyler's chest is 24 by 30 by 16 inches, and is 11,520 inches^3

Juliet's chest will be 40 by ? by 24 inches, and will be 11,520 inches^2.

We have to find the width of Juliet's chest. To do that, we have to divide the length times height of Juliet's chest by The volume of her chest, or

11,520/(40*24) = 11,520/960 = 12

Her chest is 12 inches wide

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