Find Side Length HF in a Cuboid with Volume 60 cm³

Look at the following cuboid.

The volume of the cuboid is 60 cm³.

What is the length of the side HF?

444AAABBBDDDCCCEEEGGGFFFHHH5

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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

Step-by-step written solution

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1

Understand the problem

Look at the following cuboid.

The volume of the cuboid is 60 cm³.

What is the length of the side HF?

444AAABBBDDDCCCEEEGGGFFFHHH5

2

Step-by-step solution

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

  • Step 1: Identify known values - Volume V=60cm3V = 60 \, \text{cm}^3, given side lengths are 4 cm and 5 cm.
  • Step 2: Apply the volume formula for a cuboid: V=l×w×hV = l \times w \times h, with two sides known as 4 cm and 5 cm.
  • Step 3: Set up the equation using xx as the unknown side: 4×5×x=604 \times 5 \times x = 60.
  • Step 4: Solve for xx:
    20×x=6020 \times x = 60
    Divide both sides by 20: x=6020=3x = \frac{60}{20} = 3.

Thus, the length of side HF is 3cm3 \, \text{cm}.

3

Final Answer

3 3

Practice Quiz

Test your knowledge with interactive questions

A rectangular prism has a base measuring 5 units by 8 units.

The height of the prism is 12 units.

Calculate its volume.

121212888555

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