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Learn how to determine the appropriate measurement using measurement formulas. Examples include finding area, perimeter, and volume.
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Five-Minute Check (over Lesson 14–7) Main Idea Key Concept: Measurement Formulas Example 1: Determine the Appropriate Measurement Example 2: Determine the Appropriate Measurement Example 3: Determine the Appropriate Measurement Lesson Menu
I will select and use appropriate units and formulas to measure length, perimeter, area, and volume. Main Idea/Vocabulary
Determine the Appropriate Measurement Badriya wants to buy a blanket that will cover the top of her bed. Her bed is 78 inches long and 36 inches wide. Determine whether she should find the perimeter, area, or volume. Then solve. The bed is a rectangle 78 inches long and 36 inches wide. Example 1
A = w Replace with 78 and w with 36. Determine the Appropriate Measurement Badriya will need to find the area of the bed to determine the size of the blanket she will buy. Formula for area of a rectangle A = 78 × 36 A = 2,808 Multiply. Answer: The area of the bed is 2,808 square inches. Example 1
A B C D Adele wants to buy a table cloth that will just cover the surface of her rectangular table. Her table is 8 feet long and 5 feet wide. Determine whether she should find the perimeter, area, or volume. Then solve. • perimeter; 13 feet • area; 40 square feet • area; 45 square feet • volume; 40 square feet Example 1
Determine the Appropriate Measurement Hector wants to put wood trim around the top edge of his fish tank shown below. Determine whether he should find the perimeter, area, or volume. Then solve. Example 2
P = 2 + 2w = 24 and w = 15 Determine the Appropriate Measurement Hector needs to know the distance around the fish tank. So, he needs to find the perimeter. Formula for perimeter of a rectangle P = 2(24) + 2(15) P = 78 Simplify. Answer: The distance around the fish tank is 78 inches. Example 2
A B C D Emile wants to put a fence around her yard. Her yard is 24 feet by 26 feet. Determine whether she should find the perimeter, area, or volume. Then solve. • perimeter; 50 ft • perimeter; 100 ft • area; 50 ft2 • volume; 100 ft3 Example 2
Determine the Appropriate Measurement Jonah wants to calculate how much cereal he needs to refill an empty cereal box. Determine whether he should find the perimeter, area, or volume. Then solve. Example 3
V = wh = 7, w = 2, and h = 10 Determine the Appropriate Measurement Jonah needs to know how much space the cereal box encloses. Formula for the volume of a rectangular prism V = 7 × 2 × 10 V = 140 Simplify. Answer: So, Jonah needs 140 cubic inches of cereal to refill the empty box. Example 3
A B C D Belinda needs to know how much water it takes to fill her fish tank. The fish tank is 16 inches by 25 inches by 13 inches. Determine whether she should find the perimeter, area, or volume. Then solve. • perimeter; 54 in. • area; 400 in2 • volume; 400 in2 • volume; 5,200 in3 Example 3
End of the Lesson End Lesson
Five-Minute Check (over Lesson 14–7) Image Bank Math Tool Chest Volumes of Prisms Resources
A B C D (over Lesson 14–7) Find the surface area of the prism. • 36 m2 • 54 m2 • 102 m2 • 122 m2 Five Minute Check 1
A B C D = 5 ft, w = 18 ft, h = 11 ft (over Lesson 14–7) Find the surface area of the prism. • 500 ft2 • 590 ft2 • 600 ft2 • 626 ft2 Five Minute Check 2
A B C D = 14 cm, w = 6 cm, h = 8 cm (over Lesson 14–7) Find the surface area of the prism. • 142 cm2 • 268 cm2 • 488 cm2 • 688 cm2 Five Minute Check 3