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Solve Surface Area Problems

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Last updated over 3 years ago
13 questions
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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

Question 1
1.

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

Question 2
2.

What is the total surface area of the composite shape?

Question 3
3.

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?

Question 4
4.

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.
Question 5
5.

What is the surface area of the figure in cm2?

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Question 10
10.

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

2
Question 11
11.

Question 12
12.

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.

Question 13
13.

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?

30 ft2
54 ft2
12 ft2
24 ft2
30 ft2
54 ft2
42 ft2
45 ft2
176 in2
352 in2
144 in2
405 cm2
765 cm2
603 cm2
198 cm2
Question 6
6.
Question 7
7.

What is the area of the rectangle on the left?

Question 8
8.

What is the area of the rectangle on the right?

Question 9
9.

What is the area of the triangle?

In the park, what is the area of the parking lot? Do not include units in your answer.
280 ft2
2800 ft2
6300 ft2
1225 ft2
2450 ft2
6300 ft2
262.5 ft2
1050 ft2
525 ft2