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Worksheets

Area and Surface Area of Composite Figures

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

The prism is made of two cubes. What is its total surface area?

a)

744 in2

b)

816 in2

c)

780 in2

d)

600 in2

2.

What is the total surface area?

a)

384 cm2

b)

2000 cm2

c)

2384 cm2

d)

2168 cm2

3.

The three-dimensional figure shown is composed of right prisms. What is the total surface area of the figure?

a)

510 in2

b)

642 in2

c)

606 in2

d)

678 in2

4.

All sides of the three-dimensional figure shown meet at right angles. What is the surface area of the three-dimensional figure?

a)

90 in2

b)

356 in2

c)

178 in2

d)

316 in2

5.

Calculate the composite surface area of the figure.

a)

80 cm2

b)

72 cm2

c)

52 cm2

d)

42 cm2

6.

What is the surface area of this figure

a)

30.2 yd^2

b)

50.2 yd^2

c)

47.2 yd^2

d)

54.5 yd^2

7.

Find the total surface area of the composite figure. Write your answer in terms of π.\pi.  

a)

48π in248\pi\ in^2  

b)

42π in242\pi\ in^2  

c)

46π in246\pi\ in^2  

d)

38π in238\pi\ in^2  

8.

What is the surface area of this composite figure? Use the following formula for the SA of a cone.
SA = πr2+πrsSA\ =\ \pi r^2+\pi rs  

a)

785 m^2

b)

1,734 m^2

c)

1011 m^2

d)

505 m^2

9.

What is the surface area of the figure?

10.

What is the surface area of this composite figure?

a)

785 m^2

b)

1,734 m^2

c)

1011 m^2

d)

505 m^2

11.

Tyrone makes a wooden letter T to hang on his bedroom wall. The T is a right prism. Tyrone plans to cover all the faces except the back with fabric. How many square inches of fabric will he need?

a)

104

b)

72

c)

256

d)

176

12.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

13.

Find the area of the shaded region.

a)

15.76

b)

53.44

c)

66.4

d)

44.6

14.

What is the surface area of this figure?

a)

200 cm 2

b)

800 cm 2

c)

400 cm 2

d)

100 cm 2

15.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

16.

The base of the triangle is 5 inches. The length of the rectangle is 15 inches. The height of the triangle is 10 inches. Find the surface area.

a)

300 inches

b)

200 inches

c)

275 inches

17.

A garden shed is shaped like a right prism. The shed has one 7 ft-by-6 ft rectangular door and two 3 ft-by-1 1/2 ft rectangular windows. The outer walls will be painted, but not the roof, door, or windows. What is the total surface area to be painted?

a)

95 ft2

b)

190 ft2

c)

446 ft2

d)

395 ft2

18.

A company sells cardboard scratching blocks for cats. The block is shaped like a right rectangular prism with a rectangular hole cut through its center. A cat can scratch on any face of the block, including the bottom and inside faces. What is the total area of the block's scratching surface?

a)

1440 in2

b)

1248 in2

c)

604 in2

d)

1056 in2

19.

Ignacio makes a display shelf from 4 wooden boards. All angles formed by the boards are right angles. Ignacio plans to stain all faces of the shelf, except the back face, which will be against the wall. What is the total area Ignacio will stain?

a)

780 in2

b)

702 in2

c)

390 in2

d)

554 in2

20.

All faces of a bench except the two faces that rest on the ground will be coated with a water-resistant paint. The bench is a right prism. What is the total area to be coated with the paint?

a)

3731 in2

b)

1160 in2

c)

4487 in2

d)

5243 in2