Calculate Cuboid Volume: Using Rectangle Area of 20 cm²

Question

The the area of the rectangle DBFH is 20 cm².

Work out the volume of the cuboid ABCDEFGH.

00:00 Find the volume of the box ABCDEFGH

00:05 Data values

00:10 Let's mark the side BF with the letter X

00:13 The formula for calculating rectangle area - length (BF) multiplied by width (HF)

00:16 Let's substitute appropriate values and solve for X

00:21 Calculate volume by length(8) multiplied by width(4) multiplied by height(5)

00:24 And this is the solution to the question

We know the area of DBHF and also the length of HF

We will substitute into the formula in order to find BF, let's call the side BF as X:

$4\times x=20$

We'll divide both sides by 4:

$x=5$

Therefore, BF equals 5

Now we can calculate the volume of the box:

$8\times4\times5=32\times5=160$

$160$ cm³