Question

The length of the box is 2 1/2 m, it is 1 9/16 times its width. What is the height of the box if its volume is 12 3/4 m3?

Answer 1

`3(3)/(16)` meter

Explanation:

We have to write first what is known from the information.

Let's say, length is L, width is W, and height is H

1. The length of the box is 2 1/2 m = 2,5 m = 5/2 m, it is 1 9/16 = 25/16 times it's width (L). So we have the equation :

L ≡
`(5)/(2) = (25)/(16) W`

Then we find the W. From the fraction above, we found W equals to
`(8)/(5) = 1,6` meter

2. What is the height of the box, if its volume is 12 3/4 m^3 = 51/4 m^3

Formula of a volume is :

The area wide times the height

In this problem, the equation is :

L × W × H = Volume

Insert the numbers,

`(5)/(2)` ×
`(8)/(5)` × H =
`(51)/(4)`

From the fraction above, we can find that H equals to

`3(3)/(16)` meter