Find Side Length HF in a Cuboid with Volume 60 cm³

Question

Look at the following cuboid.

The volume of the cuboid is 60 cm³.

What is the length of the side HF?

00:00 Find HF

00:03 We'll use the formula for calculating box volume

00:08 height times length times width

00:11 We'll substitute appropriate values and solve for HF

00:36 Isolate HF

00:44 And this is the solution to the question

To find the length of side HF, follow these steps:

Step 1: Identify known values - Volume $V = 60 \, \text{cm}^3$ , given side lengths are 4 cm and 5 cm.
Step 2: Apply the volume formula for a cuboid: $V = l \times w \times h$ , with two sides known as 4 cm and 5 cm.
Step 3: Set up the equation using $x$ as the unknown side: $4 \times 5 \times x = 60$ .
Step 4: Solve for $x$ :
$20 \times x = 60$
Divide both sides by 20: $x = \frac{60}{20} = 3$ .

Thus, the length of side HF is $3 \, \text{cm}$ .

$3$