Calculate Cuboid Volume: 8cm × 2cm × 4cm Rectangular Prism

Shown below is a cuboid with a length of 8 cm.

Its width is 2 cm and its height is 4 cm.

Calculate the volume of the cube.

444888222

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:10 Let's find the volume of the box.
00:13 We'll use the volume formula. Here’s how it works.
00:18 Multiply the width by the height, and then by the length.
00:22 Now, let's plug in the given values and calculate the volume!
00:38 Great job! And that's how we solve it.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Shown below is a cuboid with a length of 8 cm.

Its width is 2 cm and its height is 4 cm.

Calculate the volume of the cube.

444888222

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given dimensions of the cuboid.
  • Step 2: Apply the formula for the volume of a cuboid.
  • Step 3: Perform the calculation using the known dimensions.

Now, let's work through each step:
Step 1: The problem states that the cuboid has a length of 8 cm, a width of 2 cm, and a height of 4 cm.
Step 2: We will use the volume formula for a cuboid, which is:

V=length×width×height V = \text{length} \times \text{width} \times \text{height}

Step 3: Substituting the given dimensions into the formula, we have:

V=8cm×2cm×4cm V = 8 \, \text{cm} \times 2 \, \text{cm} \times 4 \, \text{cm}

Performing the multiplication:

V=16cm2×4cm=64cm3 V = 16 \, \text{cm}^2 \times 4 \, \text{cm} = 64 \, \text{cm}^3

Therefore, the volume of the cuboid is 64cm3 64 \, \text{cm}^3 .

3

Final Answer

64 cm³

Practice Quiz

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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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