Question

The volume of a cuboid is 176cm

The length is 11 cm and the width is 20mm
Work out the height of the cuboid in cm.

Answer 1

.08cm or 0.08cm

Explanation:

First of all, we can see that 20mm is in millimeters, not centimeters.

If we convert the ones in centimeters to millimeters, it will result in decimals, which I want to avoid, but you could also do it that way.

There are 10 mm in 1 cm, so I multiply all of the values in cm by 10.

So now, we have that the volume is 1760mm, the length is 110mm, and the width is 20mm.

The formula for the volume of a cuboid is:
`w*l*h = volume`

We have the width, length, and volume, so let's plug it in.

`20*110*h=1760`

To solve for h:

1. Multiply 20 and 100

`2200*h=1760`

2. Divide both sides by 2200

`h = 1760/2200`

3. Divide right side

h = 0.8

Keep in mind that this is in millimeters. In centimeters, it would be .08