Math Problem Statement

What is the surface area of the rectangular prism pictured below?

A. 150 square meters

B. 108 square meters

C. 180 square meters

D. 132 square meters

Solution

To calculate the surface area of a rectangular prism, you can use the formula:

Surface Area=2(lw+lh+wh)\text{Surface Area} = 2(lw + lh + wh)

where:

  • ll is the length,
  • ww is the width, and
  • hh is the height of the rectangular prism.

If you provide the dimensions of the rectangular prism in the picture, I can calculate the surface area and determine which option is correct. You can upload the image or specify the dimensions.

Do you want to upload the image or give the dimensions directly?


Here are 5 related questions to expand the concept:

  1. How do you calculate the volume of a rectangular prism?
  2. What is the difference between surface area and lateral surface area?
  3. How does the surface area change if one of the dimensions is doubled?
  4. How can you find the diagonal of a rectangular prism?
  5. How do units affect the calculation of surface area and volume?

Tip: Always ensure the units for length, width, and height are the same before calculating the surface area.

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Math Problem Analysis

Mathematical Concepts

Geometry
Surface Area
Rectangular Prisms

Formulas

Surface Area of a rectangular prism: 2(lw + lh + wh)

Theorems

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Suitable Grade Level

Grades 6-8