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Find the surface area of the rectangular prism.
SOLUTION: Find the area of each pair of faces. front and back: 2(2.6 · 2.6) = 13. top and bottom: 2(2.6 · 2.6) = 13. sides: 2(2.6 · 2.6) = 13. Find the sum of the areas. 13.52 + 13.52 + 13.52 = 40. The surface area of the prism is 40.56 square kilometers. ANSWER: 40.56 km^2
SOLUTION: The surface area is 256 square inches. ANSWER:
- Justify Conclusions Martina estimates that the surface area of a rectangular prism with a length of 13.2 feet, a width of 6 feet, and a height of 8 feet is about 460 square feet. Is her estimate reasonable? Explain your reasoning. SOLUTION: Use an estimate of 13 for the length. The approximate surface area of the rectangular prism is 460 square feet. So, Martina’s estimate is reasonable. ANSWER: Yes; the approximate surface area of the rectangular prism is (2 × 13 × 6) + (2 × 13 × 8) + (2 × 6 × 8) or.
- Model with Mathematics Refer to the graphic novel frame below for Exercises a–c. (Hint: The boxes are missing the top face.) a. The box on the left is 8 inches long, 8 inches wide, and 8 inches tall. What is the surface area of the box? b. The box on the right is 8 inches long, 6 inches wide, and 10 inches tall. What is the surface area of the box? c. How much more surface area does the larger container have? SOLUTION:
Find the surface area of the rectangular prism.
SOLUTION: Find the area of each pair of faces. front and back: 2(5)(5) = 50 top and bottom: 2(5)(5) = 50 sides: 2(5)(5) = 50 Find the sum of the areas. 50 + 50 + 50 = 150 The surface area of the prism is 150 square feet. ANSWER: 150 ft^2
SOLUTION: The surface area is 142 square feet. ANSWER:
- Nadine is going to paint her younger sister’s toy chest, including the bottom. What is the approximate surface area that she will paint? SOLUTION: S.A. = 2lh + 2lw + 2hw S.A. = 2(38)(19) + 2(38)(19) + 2(19)(19) S.A. = 1,444 + 1,444 + 722 S.A. = 3, The surface area of the toy chest is 3,610 square inches. ANSWER: 3,610 in^2
18. A company is experimenting with two new boxes for packaging merchandise. Each box is a cube with the side
lengths shown.
Select the correct values to complete each statement.
a. The surface area of the smaller box is square inches.
b. The surface area of the larger box is square inches.
c. The ratio of the side lengths of the smaller box to the side lengths of the larger box, in lowest terms, is
to.
d. The ratio of the surface area of the smaller box to the surface area of the larger box, in lowest terms, is
to.
Add or multiply.
- 14 × 16 SOLUTION: 14 × 16 = 224 ANSWER: 224
- 27 × 63 SOLUTION: ANSWER: 1,
