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

Answer:

$3\frac{3}{16}$ meter

Step-by-step 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 ≡ $\frac{5}{2} = \frac{25}{16} W$

Then we find the W. From the fraction above, we found W equals to $\frac{8}{5} = 1,6$ 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,

$\frac{5}{2}$ × $\frac{8}{5}$ × H = $\frac{51}{4}$

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

$3\frac{3}{16}$ meter