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Solve Surface Area Problems

Last updated about 3 years ago
13 questions

Solve Surface Area Problems

Lesson Goal is to be able to find the area and surface area of 2D and 3D composite shapes.

Composite shapes are a combination of two or more geometric shapes.

Steps to Solve a Surface Area Problem
  1. Break the composite shape up into shapes you know such as rectangles, triangles, and circles.
  2. List all the dimensions you know and surface area formulas you will need.
  3. Calculate the surface area of each shape.
  4. Add the surface area values for each shape.

Explain and Practice

Review each video. Use the steps from the video to complete each practice problem.

Determining Surface Area of a 2D Composite Shape

1

Calculate the surface area of the triangle in the composite shape.

1

What is the total surface area of the composite shape?

1

A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism?

1

What is the surface area of the composite figure shown?

Test Yourself

Put all your knowledge on surface area of 2D and 3D composite shapes together to solve each problem.
2

What is the surface area of the figure in cm2?

1
1

What is the area of the rectangle on the left?

1

What is the area of the rectangle on the right?

1

What is the area of the triangle?

2

What is the total area of the park? Do not include units in your answer.

2

In the park, what is the area of the parking lot? Do not include units in your answer.

2

Naomi is painting the front and back her house. Each can of paint covers 32 square feet. Determine the surface area of the front and back of her barn.

1

Each can of paint covers 32 ft2. How many cans of paint does Naomi need to cover the entire front and back of the barn?