Math Problem Statement

What is the volume, in cubic m, of a rectangular prism with a height of 15m, a width of 4m, and a length of 13m?

Solution

The volume VV of a rectangular prism is calculated using the formula:

V=length×width×heightV = \text{length} \times \text{width} \times \text{height}

Given the dimensions:

  • Height = 15 meters
  • Width = 4 meters
  • Length = 13 meters

Substitute these values into the formula:

V=13m×4m×15m=780m3V = 13 \, \text{m} \times 4 \, \text{m} \times 15 \, \text{m} = 780 \, \text{m}^3

Thus, the volume of the rectangular prism is 780 cubic meters.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the surface area of the same rectangular prism?
  2. How would the volume change if the width was doubled?
  3. What is the diagonal length of the rectangular prism?
  4. If the volume remains the same but the height is increased to 20m, what would be the new width?
  5. How do the units of the dimensions affect the volume?

Tip: For any rectangular prism, increasing any one dimension while keeping the others constant results in a proportional increase in volume.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation
Rectangular Prisms

Formulas

Volume of a rectangular prism: V = length × width × height

Theorems

-

Suitable Grade Level

Grades 6-8