Math Problem Statement

Find the volume

Solution

To find the volume of the rectangular prism shown in the image, you use the formula:

Volume=Length×Width×Height\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}

Given the dimensions from the image:

  • Length = 22 inches
  • Width = 9 inches
  • Height = 15 inches

Now, calculate the volume:

Volume=22in×9in×15in\text{Volume} = 22 \, \text{in} \times 9 \, \text{in} \times 15 \, \text{in}

Let's compute that.The volume of the rectangular prism is 2970 cubic inches.

Would you like any further details or have any questions?

Here are some related questions:

  1. How do you find the surface area of a rectangular prism?
  2. If one dimension of the prism were doubled, how would the volume change?
  3. What are some real-life objects that resemble a rectangular prism?
  4. How does changing one dimension of a prism affect its volume?
  5. What is the difference between volume and surface area?

Tip: Remember that the volume of a three-dimensional object measures how much space it occupies.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume calculations

Formulas

Volume of a rectangular prism: Volume = Length × Width × Height

Theorems

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Suitable Grade Level

High School