Calculate Cuboid Volume: Rectangle Base 12 cm² with Height 3

Question

ABCD is a rectagle that has an area of 12 cm².

Calculate the volume of the cuboid ABCDEFGH.

00:09 Let's find the volume of the box, A B C D E F G H.

00:14 Remember, in a rectangle, opposite sides are equal.

00:18 We'll label the side, C D, with the letter X.

00:22 To find the area of a rectangle, multiply the length, C D, by the width, B D.

00:28 Now, let's plug in the values and solve for X.

00:32 Calculate the volume: length, six, times width, two, times height, three.

00:39 And that's how we find the solution!

Based on the given data, we know that:

$BD=HF=2$

We also know the area of ABCD and the length of DB.

We can therefore substitute these values into the formula to find CD, which we will call $x$ :

$2\times x=12$

We can then divide both sides by 2:

$x=6$

Therefore, CD equals 6.

Finally, we can calculate the volume of the box as follows:

$6\times2\times3=12\times3=36$

$36$