Calculate Cuboid Volume: 8cm Square Base × 5cm Height

Given an cuboid such that its base is a square.

The length of the side of the base is equal to 8 cm

The length of the height is equal to 5 cm

Find the volume of the cuboid

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the box volume
00:03 The base of the box is a square according to the given data, therefore the sides are equal
00:18 The side values according to the given data
00:24 We'll use the formula for calculating box volume
00:28 Height multiplied by length multiplied by width
00:32 We'll substitute appropriate values and solve to find the volume
00:37 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Given an cuboid such that its base is a square.

The length of the side of the base is equal to 8 cm

The length of the height is equal to 5 cm

Find the volume of the cuboid

2

Step-by-step solution

To solve the problem of finding the volume of the given cuboid, we'll follow the outlined steps:

  • Step 1: Calculate the area of the base.
  • Step 2: Multiply the base area by the height to find the volume.

Now, let's work through each step:

Step 1: Calculate the area of the base.
The side length of the square base is given as 8 cm. The formula for the area of a square is a2 a^2 , where a a is the side length. Substituting the value, we get:
Base Area=82=64cm2\text{Base Area} = 8^2 = 64 \, \text{cm}^2

Step 2: Multiply the base area by the height.
The height of the cuboid is given as 5 cm. Using the formula for the volume of a cuboid Volume=Base Area×Height\text{Volume} = \text{Base Area} \times \text{Height}, we substitute the known values:
Volume=64cm2×5cm=320cm3\text{Volume} = 64 \, \text{cm}^2 \times 5 \, \text{cm} = 320 \, \text{cm}^3

Therefore, the volume of the cuboid is 320cm3 320 \, \text{cm}^3 .

3

Final Answer

320 320

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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