name date period practice 7.9(d)...course 2 • expressions, equations, and relationships tx109...

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NAME ____________________________________________ DATE _____________________________ PERIOD _____________ Course 2 • Expressions, Equations, and Relationships TX109 Practice 7.9(D) SCORE __________ Solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape’s net. Multi-Step Example Determine the lateral area of the rectangular prism by determining the area of the net. Each shaded rectangle has an area of 4 • 12 = 48 square millimeters. So, the lateral area of the rectangular prism is 48 • 4 = 192 square millimeters. 1 Determine the surface area of the rectangular prism by determining the area of the net. A 104 cm ! B 118 cm ! C 192 cm ! D 208 cm ! 2 Determine the lateral area of the square pyramid by determining the area of the net. F 28 in ! G 56 in ! H 112 in ! J 308 in ! The shaded parts of the net show the lateral area of the rectangular prism.

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Page 1: NAME DATE PERIOD Practice 7.9(D)...Course 2 • Expressions, Equations, and Relationships TX109 Practice 7.9(D) SCORE _____ Solve problems involving the lateral and total surface area

NAME ____________________________________________ DATE _____________________________ PERIOD _____________

Course 2 • Expressions, Equations, and Relationships TX109

Practice 7.9(D) SCORE __________ Solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape’s net.

Multi-Step Example Determine the lateral area of the rectangular prism by determining the area of the net. Each shaded rectangle has an area of 4 • 12 = 48 square millimeters. So, the lateral area of the rectangular prism is 48 • 4 = 192 square millimeters.

1 Determine the surface area of the rectangular prism by

determining the area of the net.

A 104 cm!

B 118 cm!

C 192 cm!

D 208 cm!

2 Determine the lateral area of the square pyramid by determining the area of the net.

F 28 in!

G 56 in!

H 112 in!

J 308 in!

 

 

The shaded parts of the net show the lateral area of the rectangular prism.

 

   

Page 2: NAME DATE PERIOD Practice 7.9(D)...Course 2 • Expressions, Equations, and Relationships TX109 Practice 7.9(D) SCORE _____ Solve problems involving the lateral and total surface area

NAME ____________________________________________ DATE _____________________________ PERIOD _____________

TX110 Course2 • Expressions, Equations, and Relationships  

Practice 7.9(D) (continued) SCORE __________ 3 Determine the surface area of the prism with the net

shown.

A 28 cm! C 426 cm!

B 84 cm! D 630 cm!

4 Determine the surface area of the pyramid whose net is

shown if all the faces are congruent.

F 17.5 cm! H 70 cm!

G 35 cm! J 140 cm!

5 What is the difference between the lateral and surface

areas of the prism sitting on its base?

A 174 ft!

B 348.5 ft!

C 522.5 ft!

D 871 ft!

6 Ella is decorating a paper weight with tissue paper. She is not going to decorate the bottom of the paper weight. How much tissue paper, in square centimeters, will Ella need to decorate the paper weight?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

7 Jeffery has a piece for his train set in the shape of a

triangular prism as shown below. He has enough paint to cover 25 square feet. If he uses all the paint, how many square feet will be unpainted?

F 25 ft!

G 30 ft!

H 50 ft!

J 75 ft!

 

 

 

 

 

 

Page 3: NAME DATE PERIOD Practice 7.9(D)...Course 2 • Expressions, Equations, and Relationships TX109 Practice 7.9(D) SCORE _____ Solve problems involving the lateral and total surface area

NAME ____________________________________________ DATE _____________________________ PERIOD _____________

Course 2 • Expressions, Equations, and Relationships TX111

Practice 7.9(D) SCORE __________ Student Recording Sheet Fill in the correct answer. For gridded-response questions, write your answers in the boxes on the answer grid and fill in the bubbles to match your answers. 1 2 3 4 5

6 7