What is the volume of this prism?

Question image

Understand the Problem

The question asks us to calculate the volume of a rectangular prism. We are given the length, width, and height of the prism as 9m, 2m, and 5m respectively. To find the volume, we need to multiply these three dimensions together.

Answer

$90 \text{ m}^3$
Answer for screen readers

The volume of the prism is $90 \text{ m}^3$.

Steps to Solve

  1. Identify the given dimensions

The length is 9 m, the width is 2 m, and the height is 5 m.

  1. Calculate the volume

The volume $V$ of a rectangular prism is given by the formula: $V = \text{length} \times \text{width} \times \text{height}$.

Substitute the given values: $V = 9 \text{ m} \times 2 \text{ m} \times 5 \text{ m}$.

  1. Perform the multiplication

Multiply the numbers together: $V = 9 \times 2 \times 5 = 18 \times 5 = 90$.

Thus, the volume $V = 90 \text{ m}^3$.

The volume of the prism is $90 \text{ m}^3$.

More Information

The volume of a prism is the amount of space it occupies.

Tips

A common mistake is to add the dimensions instead of multiplying them. Remember that volume is a multiplicative property in this case, as it measures 3-dimensional space. Also, forgetting the units or using the wrong units (e.g., square meters instead of cubic meters) is a common mistake.

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