Math Problem Statement

What is the surface area of the rectangular prism displayed in the grid? The answer choices are 52 units², 26 units², 64 units², and 50 units².

Solution

From the image you provided, the question appears to be about calculating the surface area of a rectangular prism (cuboid). There are several answer choices, with the dimensions of the prism displayed in the grid.

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

Surface Area=2lw+2lh+2wh\text{Surface Area} = 2lw + 2lh + 2wh Where:

  • ll = length
  • ww = width
  • hh = height

Step-by-Step:

  1. Count the number of cubes along the length, width, and height.
  2. Plug those values into the formula.
  3. Calculate each part and sum them up.

Would you like me to help with further breakdown or clarification of the steps?

Here are 5 related questions to help deepen your understanding:

  1. How does the surface area of a cube compare to that of a rectangular prism?
  2. What happens to the surface area if you double the dimensions of a rectangular prism?
  3. How can you use a net to calculate the surface area of a rectangular prism?
  4. What is the difference between surface area and volume in 3D shapes?
  5. Can surface area ever be smaller than the volume for a given shape?

Tip: Always visualize or sketch the net of a 3D figure to make surface area calculations easier!

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Math Problem Analysis

Mathematical Concepts

Geometry
Surface Area
Rectangular Prisms

Formulas

Surface Area = 2lw + 2lh + 2wh

Theorems

Surface area of rectangular prisms

Suitable Grade Level

Grades 5-7