# Math Help - Working out the height of a Cuboid

1. ## Working out the height of a Cuboid

Hiya guys, im taking an early GCSE in november and i just need to clear a few things up.

How do i work out the height of a cuboid. The question is as follows:

The Cuboid has a volume of 180cm3.
Calculate the height of the cuboid

Length = 8cm
Width = 5cm
I sort of thought that length x width but that would give you the area and i want the height , Or am i right?

Also another question i need help out is working out the volume.

Use the approximations to estimate the volume of the cuboid.

Height = 9.89CM
Width = 20.3 CM
Length = 29.7CM
To approximations i would say

Height = 10CM
Width = 20CM
Length = 30CM

For volume is it x them all together?
10x20x30 ?

Thanks

2. The volume of a cuboid is given by:

$Volume = Length\ \times\ Width\ \times\ Height$

The other one seems right to me.

3. Hiya

Thanks for your swift reply. So the first one my theory is correct? I'll do $8x5=40$ (height) , But im sure $length x width = area$?

4. Not quite. Take the formula I gave you and substitute the values.

$Volume = Length\ \times\ Width\ \times\ Height$

$180 = 8 \times 5 \times h$

What does h become?

5. 8x5 = 40
So i gotta see how many times 40 goes into 180 which is 4.5 , so would it be 4 or 5 , or just 4.5 ?

6. You leave it as 4.5 cm, unless the question asks you to round off to one figure.

Well done!