Math Problem Statement

What is the volume

What is the volume of the rectangular prism?

Solution

The image shows a rectangular prism with dimensions labeled as 3 (height), 9 (depth), and 8 (width).

To find the volume of a rectangular prism, use the formula:

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

In this case:

Volume=3×9×8\text{Volume} = 3 \times 9 \times 8

Let me calculate that for you.The volume of the rectangular prism is 216cubic units216 \, \text{cubic units}.

Would you like further details or have any questions?

Here are five related questions to explore:

  1. How do you find the surface area of this rectangular prism?
  2. How would the volume change if one dimension was doubled?
  3. What is the formula for the volume of a cube?
  4. How does the volume of a prism compare to the volume of a cylinder with the same height and base area?
  5. Can you calculate the total edge length of the prism?

Tip: When calculating the volume of any 3D shape, ensure all dimensions are in the same units to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation
Rectangular Prism

Formulas

Volume = length × width × height

Theorems

Volume of a rectangular prism

Suitable Grade Level

Grades 5-7