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Learn how to find the surface area of a rectangular prism with step-by-step examples. Practice calculating surface areas using different dimensions.
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Five-Minute Check (over Lesson 14–6) Main Idea and Vocabulary Key Concept: Surface Area of a RectangularPrism Example 1: Find the Surface Area Example 2: Find the Surface Area Lesson Menu
I will find the surface areas of rectangular prisms. • surface area Main Idea/Vocabulary
Find the Surface Area Find the surface area of the rectangular prism. Example 1
Find the Surface Area Find the area of each face. top and bottom: 2(ℓw) = 2(8× 4) or 64 front and back: 2(ℓh) = 2(8× 3) or 48 two sides: 2(wh) = 2(4× 3) or 24 Add to find the surface area. Answer: The surface are is 64 + 48 + 24 or 136 square centimeters. Example 1
A B C D 6 m 4 m 2 m Find the surface area of the rectangular prism. • 44 m2 • 48 m2 • 88 m2 • 96 m2 Example 1
Find the Surface Area A box measure 13 inches long, 7 inches wide, and 4 inches deep. What is the surface area of the box? Find the area of each face. top and bottom: 2(ℓw) = 2(13× 4) or 104 front and back: 2(ℓh) = 2(13× 7) or 182 two sides: 2(wh) = 2(7× 4) or 56 Add to find the surface area. Answer: The surface are is 104 + 182 + 56 or 342 square inches. Example 2
A B C D Find the surface area of a box that is 12 inches long, 9 inches wide, and 4 inches deep. A. 384 in2 B. 408 in2 C. 424 in2 D. 432 in2 Example 2
End of the Lesson End Lesson
Five-Minute Check (over Lesson 14–6) Image Bank Math Tool Chest Volumes of Prisms Resources
A B C D = 8 yd, w = 7 yd, h = 3 yd (over Lesson 14–6) Find the volume of the prism. • 59 yd3 • 168 yd3 • 180 yd3 • 162 yd3 Five Minute Check 1
A B C D = 12 cm, w = 8 cm, h = 5 cm (over Lesson 14–6) Find the volume of the prism. • 168 cm3 • 200 cm3 • 220 cm3 • 480 cm3 Five Minute Check 2
A B C D = 5 ft, w = 3 ft, h = 9 ft • 122 ft3 • 136 ft3 • 141 ft3 • 288 ft3 1 4 3 3 1 4 4 4 (over Lesson 14–6) Find the volume of the prism. Five Minute Check 3