Question

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

Answer 1

3 3/16

Explanation:

If:

Length= 2 1/2

Width=2 1/2 divided by 1 9/16= 1 3/5

Volume=12 3/4

So then, 2 1/2 times 1 3/5=4

12 3/4 divided by 4= 3 3/16

Done!

Answer 2

h=1.3056 m

Explanation:

L=2.5m

w=L(1 + 9/16)

w=2.5(1 + 9/16)=
`(125)/(32)` m=3
`(29)/(32)`m

v=Lwh

12.75m³=(2.5m)(
`(125)/(32)`m)h

12.75m³=(9.765625m²)h

`(12.75m^(3) )/(9.765625m^(2) )`=h

h=1.3056 m