Use Nets to Solve Rectangular Problems Practice

Question

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Question
Use the image to answer the question.

Answer 1

The image shows a rectangular prism with the following dimensions: Length = 6 units, Width = 3 units, and Height = 4 units.

What is the surface area of this rectangular prism?

Answer:
To find the surface area of a rectangular prism, we need to calculate the area of each face and then add them all together.

- The area of the front and back faces (which are rectangles with dimensions 6 units by 4 units) is 6 units x 4 units = 24 square units each. Since there are 2 of these faces, their combined area is 24 square units x 2 = 48 square units.
- The area of the top and bottom faces (which are rectangles with dimensions 6 units by 3 units) is 6 units x 3 units = 18 square units each. Since there are 2 of these faces, their combined area is 18 square units x 2 = 36 square units.
- The area of the left and right faces (which are rectangles with dimensions 3 units by 4 units) is 3 units x 4 units = 12 square units each. Since there are 2 of these faces, their combined area is 12 square units x 2 = 24 square units.

Therefore, the surface area of the rectangular prism is: 48 square units + 36 square units + 24 square units = 108 square units.

So, the surface area of this rectangular prism is 108 square units.