Calculate Cuboid Volume: Rectangle Base 12 cm² with Height 3

Question

Rectangle ABCD has an area of 12 cm².

Calculate the volume of the cuboid ABCDEFGH.

00:00 Find the volume of box ABCDEFGH

00:04 Opposite sides are equal in a rectangle

00:07 Let's mark the side CD with the letter X

00:11 The formula for calculating rectangle area - length (CD) multiplied by width (BD)

00:15 Let's substitute appropriate values and solve for X

00:18 Calculate volume by length(6) multiplied by width(2) multiplied by height(3)

00:22 And this is the solution to the question

Based on the given data, we can argue that:

$BD=HF=2$

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

We'll substitute in the formula to find CD, let's call the side CD as X:

$2\times x=12$

We'll divide both sides by 2:

$x=6$

Therefore, CD equals 6

Now we can calculate the volume of the box:

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

$36$