Calculate Cuboid Volume: 9cm × 4cm × 5cm Rectangular Prism

A cuboid has a length of is 9 cm.

It is 4 cm wide and 5 cm high.

Calculate the volume of the cube.

555444999

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's calculate the volume of this box.
00:12 We'll use the formula for the volume of a box.
00:15 Multiply the width, by the height, by the length.
00:19 Now, plug in the numbers, and solve to find the volume.
00:37 And there you have it, the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

A cuboid has a length of is 9 cm.

It is 4 cm wide and 5 cm high.

Calculate the volume of the cube.

555444999

2

Step-by-step solution

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

  • Step 1: Identify the given dimensions: length = 9 cm, width = 4 cm, height = 5 cm.
  • Step 2: Apply the formula for the volume of a cuboid, V=length×width×height V = \text{length} \times \text{width} \times \text{height} .
  • Step 3: Calculate the value by substituting the given dimensions into the formula.

Now, let's work through each step:

Step 1: Given dimensions are:
- Length = 9 cm
- Width = 4 cm
- Height = 5 cm

Step 2: Use the formula for the volume of a cuboid:
V=length×width×height V = \text{length} \times \text{width} \times \text{height}

Step 3: Substitute the values into the formula:
V=9cm×4cm×5cm V = 9 \, \text{cm} \times 4 \, \text{cm} \times 5 \, \text{cm}

Calculate the product:
V=180cm3 V = 180 \, \text{cm}^3

Therefore, the volume of the cuboid is 180cm3 180 \, \text{cm}^3 .

3

Final Answer

180 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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