Question

Please show working for question 9.

Answer 1

The answer to your question is 270

Answer 2

270 cans of soda

Explanation:

First, we need to find the volume of the box and the volume of a can.

Volume of box =
`l* w* h`

`=17*45*20`

`=15300cm^(3)`

Volume of can =
`\pi r^(2)h`

Since we are given the diameter and that the radius is half the diameter,
`r = 1.5cm`

Volume of can =
`\pi * 1.5^(2)* 8`

`= 56.54866776cm^(3)` (using calculator)

To find how many cans can fit into the box:

Number of cans = volume of box
`/` volume of can

`= 270.5634033`

Because we are trying to find how many full whole cans can fit in the box, ∴ 270 cans of soda can fit in the box.

Hope this helps :)