Math Problem Statement

What is the volume of the rectangular prism?

Solution

To find the volume of the rectangular prism, we use the given formula:

V=l×w×hV = l \times w \times h

Where:

  • l=15l = 15 (length)
  • w=10w = 10 (width)
  • h=4h = 4 (height)

Substituting the values:

V=15×10×4V = 15 \times 10 \times 4

Let me calculate that for you.The volume of the rectangular prism is 600units3600 \, \text{units}^3.

Would you like further details or have any questions?

Here are 5 related questions:

  1. What is the surface area of the rectangular prism?
  2. How does changing the height affect the volume?
  3. What is the difference between volume and surface area?
  4. How do you calculate the volume of other 3D shapes, like cylinders or spheres?
  5. How can you visualize the concept of volume in real-life objects?

Tip: When solving volume problems, ensure that all measurements are in the same unit before multiplying.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation

Formulas

V = l × w × h (Volume of a rectangular prism)

Theorems

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Suitable Grade Level

Grades 6-8