Lesson 1 Homework Practice
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1 Lesson Homework Practice Volume of Rectangular Prisms Find the volume of each prism.. 5 yd 0 mm 6 mm 9 4 in. 7 yd 3 mm 62 in. 9 yd 5. 3 m 22 yd 2 ft 3 54 yd 4 m 8 yd 6 ft 3 ft 4 m 7. MUSIC Find the volume of the CD box shown at the right. 8. TOYS Geneva s younger brother has a toy box that is 6 feet long, 4 feet wide, and.5 feet high. What is the volume of the toy box? 9. What is the volume of a rectangular prism with a length of meters, width of 26 meters, and height of 38 meters? 0. BAKING The bread loaf pan shown is filled to a height of 2 inches with banana bread batter. How much more batter could the pan hold before it overflowed? 9 in in. 2 Course Chapter 0 Volume and Surface Area 45
2 Lesson Skills Practice Volume of Rectangular Prisms Find the volume of each prism.. 2 in. 4 in. in. 7 m 2 m 9 ft 4 m 5 ft 6 ft mm 5. 0 mm 4 mm 0 in. 5 yd 0 yd 2 yd 2 in in ft 5 ft 20 ft Find the missing dimension of each prism. 0. m V = m 3. l 8.4 m 72 ft 46 Course Chapter 0 Volume and Surface Area 4 9. V = 56 ft 3 h 3 34 ft 6 mm V = 89 yd 3 Find the volume of a rectangular prism with length 9 meters, width 4 meters, and height 5 meters. What is the volume of a rectangular prism with length 6 yards, width 3 yards, and a height of 2 yards? 9 yd 0 mm w 7 yd 7 mm
3 Lesson Problem-Solving Practice Volume of Rectangular Prisms. OLYMPICS Olympic gold medal winner Michael Phelps competes in a pool with required dimensions 25 meters by 50 meters by 2 meters. What is the volume of the Olympic-sized pool? Explain how you found your answer. DUMP TRUCKS Raphael drives a standard-sized dump truck. The dimensions of the bed of the truck are length 5 feet, width 8 feet, and height 6 feet. What is the volume of the bed of the dump truck? GIFTS William has some antique bottles. He is going to fill the bottles with bath soap and give them away as gifts. Use the figure to find the volume up to the fill line of a bottle. JEWELRY Janine keeps her jewelry in a jewelry box like the figure below. Find the volume of Janine s jewelry box. 4 in. 6 in. Fill Line 5. RECYCLING The town of Riverview provides a rectangular recycling bin for newspapers to each household. If the volume is 3,840 cubic inches, what is the height of the recycling bin? 20 in. 2 in. h in in. 94 in. CANDLE MAKING Kyle fills the candle mold with liquid candle wax. If the candle has a volume of 99 cubic inches, what is the width of the mold? in. w in. 46 Course Chapter 0 Volume and Surface Area
4 Lesson 2 Homework Practice Volume of Triangular Prisms Find the volume of each prism. Round to the nearest tenth if necessary.. 2 m 6 ft 0 ft 4 yd yd 9.5 yd 9 m 8 m.7 ft 0 ft 5..7 in. 0.8 m 2 km. 0.9 in. 4 m 7 m 8 km 0 m 20 km.7 in..7 in in. 2 in. 2 in cm 5 cm 0 cm 0. WEDGE The base of a triangular door wedge has an area of 55 square centimeters. The height of the wedge is 5 centimeters. Find the volume of the door wedge cm 7.2 cm. GAME A wooden peg game in the shape of a triangular prism is 2 inches tall. The triangle has a base of 2 inches and a height of 9 inches. Find the volume of the game. 8 cm 6 cm Course Chapter 0 Volume and Surface Area 47
5 Lesson 2 Skills Practice Volume of Triangular Prisms Find the volume of each prism. Round to the nearest tenth if necessary yd 4 8 yd 5 yd 2 m 8 m 5.9 m 2 ft 5 ft 2 ft 2 m 5. m 5.2 in. 6 m 6 m 5. m 9.6 in. 8.4 in. 0.4 in ft 8 m 5 ft 7 ft cm 8.9 cm 7 cm m 6 m 6 m 6 m 5.3 m 48 Course Chapter 0 Volume and Surface Area
6 Lesson 2 Problem-Solving Practice Volume of Triangular Prisms. TOY BLOCKS A set of wooden blocks includes a triangular prism like the one shown below. Find the volume of the block. 4 cm RAMP The base of a bicycle ramp has an area of 4 square feet. The ramp is a triangular prism. If the ramp has a height of 2 feet, what is the volume of 2 the ramp? 2 cm 5 cm CLAY A potter crafts a triangular prism out of clay. The height of the clay prism is 9 centimeters. Each triangle has a base of 2 centimeters and a height of 4 centimeters. What is the volume of the clay piece? CABIN An A-frame cabin is built in the shape of a triangular prism, as shown. The front wall of the cabin has a length of 9 meters and a height of 7 meters. The cabin is 3 meters deep. Find the volume of the cabin. 5. PAPERWEIGHT A novelty paperweight has a triangular base with an area of 5 square centimeters. If the height of the paperweight is.5 centimeters, what is the volume of the paperweight? 7 m 9 m 3 m SANDBOX Mr. Riojas is building his children a sandbox that is shaped like a triangular prism. He uses 7-foot-long wooden beams for each side of the base. He measures the height of the triangular base to be feet. If he makes the sandbox foot tall, how much sand will he need to fill it? Round to the nearest cubic foot. 48 Course Chapter 0 Volume and Surface Area
7 Lesson 3 Homework Practice Surface Area of Rectangular Prisms Find the surface area of each rectangular prism.. 9 yd 8 cm 8 m 8 cm 2 cm 5 yd 3 yd 7 m 4 m 92 in. 2 in ft 7 mm 5 mm 4 mm 20 ft 26 ft 7. GIFTS Minh is covering a necklace box with gift wrap. The necklace box is 5 centimeters long, 8 centimeters wide, and 2 centimeters high. What is the minimum surface area of the paper that will cover the necklace box? 8. ESTIMATION Alicia estimates that the surface area of a rectangular prism with a length of meters, a width of 5.6 meters, and a height of 7.2 meters is about 334 cubic meters. Is her estimate reasonable? Explain your reasoning. 9. BLOCKS Find the surface area of each block. Which block has the greater surface area? Does the same block have a greater volume? Explain. 2 in. 4 in. 6 in. Course Chapter 0 Volume and Surface Area 5
8 Lesson 3 Skills Practice Surface Area of Rectangular Prisms Find the surface area of each rectangular prism.. 4 in. cm 2 cm 5 cm 8 ft 9 in. 7 in. 3 ft 4 ft 5. 2 ft 2 yd 4 yd 2 yd 7 ft 9 ft 4 ft 3 ft 5 ft 7. 9 m 4 m 2 m in. 74 in mm 0. Find the surface area of a rectangular prism that is 3 feet by 4 feet by 6 feet.. What is the surface area of a rectangular prism that measures 2 meters by meters by 9 meters? 3 mm 3 mm 52 Course Chapter 0 Volume and Surface Area
9 Lesson 3 Problem-Solving Practice Surface Area of Rectangular Prisms. GIFTS Fatima is wrapping a gift box for her nephew s birthday. The box s dimensions are 6 inches long by 0 inches wide by 5 inches high. What is the surface area of the box? FOOD Antoine is wrapping a block of cheese that is 22 centimeters long by 6 centimeters high by 0 centimeters wide with plastic wrap. What is the surface area of the cheese block? PAINTING Cody is painting the front door of his house. The dimensions of the door are 80 inches by 36 inches by 2 inches. If he paints all of the surfaces, how much area will he paint? Explain. CARPENTRY Bryan is sanding a set of speaker boxes that he built for his room. What is the surface area of each box? 6 ft 5. CARPENTRY Jing is putting oak veneer (thin wood covering) on the entire surface of her hope chest. How much veneer will she need? 54 ft 24 ft 32 ft. ft 2 ft TOY MAKING Trey is covering blocks of wood with wallpaper to make building blocks for his little sister. If he covers all the surfaces, how much wallpaper will he need? Think of a short way to solve this problem and explain. 52 Course Chapter 0 Volume and Surface Area
10 Lesson 4 Homework Practice Surface Area of Triangular Prisms Find the surface area of each triangular prism. Round to the nearest tenth if necessary.. 6 km 3 ft 6 km 4 km 5.2 km 6 km 5 ft 4 ft 6 ft 2 in. 4 in. 6 mm 7 in. 24 in. 8 mm 5 mm 22 in. 5 mm 5. One foam block on the playground at Teeny Tots Preschool is a triangular prism. About how much material is used to cover the block? The box for the jungle animal figurines is in the shape of a triangular prism. What is the surface area of the box? 2 in. 4 in. 2 in. 6 in. 7. The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box? 2 in in. 4 in. Course Chapter 0 Volume and Surface Area 53
11 Lesson 4 Skills Practice Surface Area of Triangular Prisms Find the surface area of each triangular prism. Round to the nearest tenth if necessary.. 0 yd 25 yd 5 yd 20 yd 25 km 8 km 24 km 7 km 7 ft 0.5 ft.9 ft 4 ft 3 m 5.6 m 7.4 ft 0.4 m 5.6 m 3 m mm 36 mm 7. A box of snack crackers is in the shape of a triangular prism. What is the surface area of the box? 48 mm 33 mm 5 cm 5 cm 4 cm 3 cm 5 cm 54 Course Chapter 0 Volume and Surface Area
12 Lesson 4 Problem-Solving Practice Surface Area of Triangular Prisms. PIZZA Find the amount of cardboard needed to make a box for a single slice of pizza. The box is in the shape of a triangular prism as shown. 2 in. 7 in. 2 in. RAMPS Sturdy Steel Construction is building a steel ramp in the shape of a triangular prism. The dimensions are shown below. What is the surface area of the ramp? 85 ft 84 ft 2 ft 3 ft CAMPING The Canvas Camping Company makes canvas tents like the one shown. How much material is needed to make the tent? DISPLAY CASES Find the surface area of Anna s glass doll display case. The case is in the shape of a triangular prism as shown. 5. ft 6 ft 3 ft 3 ft 6 ft 9 ft 5. GIFTS Mariska purchased a gift box in the shape of a triangular prism. The dimensions are shown below. What is the surface area of the gift box? 8 cm 30 cm 42 cm 35 cm 0 in. 4 7 in. 0 in. 4 0 in. PACKAGING Pascal s Peanut Company packages dry-roasted peanuts in a box in the shape of a triangular prism. The dimensions are shown below. What is the surface area of the box? 7.8 cm 3 cm 8.2 cm 20.8 cm 3 cm 54 Course Chapter 0 Volume and Surface Area
13 Lesson 5 Homework Practice Surface Area of Pyramids Find the surface area of each pyramid.. 5 ft 2 yd 6 km 9 km 9 km 4 ft 4 ft yd 4 yd 4 8 in. 8 in mm 8.9 mm 5 m 7 m 9 in. 8 in. 6 mm 6 mm 5.2 mm 5 m 5 m 3 m 7. GOLF Marshall purchased a pyramid-shaped golf ball display case with the dimensions shown. What is the surface area of the case? Round to the nearest hundredth. 8. PUZZLES Potter s Puzzles sells a wooden pyramid puzzle. The base is a square with side lengths of 6 inches. The slant height is 0 inches. What is the surface area of the puzzle? GOLF 5 78 in ART Mariah is painting the surface of a sculpture in the shape of a square pyramid. The base has side lengths of 32 centimeters. The slant height is 25 centimeters. What is the surface area of the sculpture? Course Chapter 0 Volume and Surface Area 55
14 Lesson 5 Skills Practice Surface Area of Pyramids Find the surface area of each pyramid. Round to the nearest tenth if necessary m 7 ft.5 yd 4 m 4 m 5 ft 5 ft 7 yd 7 yd 6 cm cm 9 cm in. 9 in. 7.8 in. 2 mm 5 mm cm cm 9 in. 9 in. 2 mm 2 mm 0.2 mm 7. 8 cm 26 cm 26 cm 8. 0 ft 8.7 ft 8.7 ft 0 ft 0 ft 0. OFFICE DÉCOR Mr. Statsko has a paper weight on his desk in the shape of a square pyramid. The dimensions of the pyramid are shown. What is the surface area of the paper weight? 9. 0 yd 0 yd 4 in. 6 in. 2 yd 0 yd 7 yd 6 in. 56 Course Chapter 0 Volume and Surface Area
15 Lesson 5 Problem-Solving Practice Surface Area of Pyramids. FOUNTAINS A sculpture in the water fountain at Casey Creek Park is in the shape of a square pyramid. The base of the sculpture is 2 feet long and 2 feet wide. The slant height is 5 feet. What is the surface area of the sculpture? TENTS Tent Potential, Inc. makes a tent in the shape of a square pyramid. The base of the tent is 4 meters long and 4 meters wide. The slant height of the tent is 2 meters. What is the surface area of the tent? STAGE SET Rock It Out builds stage sets for rock concerts in the shape of a square pyramid. One set has a base that is 2 feet long and 2 feet wide. The slant height of the set is 4 feet. What is the surface area of the stage set? 5. PARACHUTES Marcus s science class is testing a toy parachute in the shape of a square pyramid. The opening at the base is 20 centimeters long and 20 centimeters wide. The slant height of the parachute is centimeters. What is the surface area of the parachute? (Hint: The surface area of the parachute does not include the base.) TOYS Toddler Builders makes a toy block in the shape of a triangular pyramid. The base of the block is an equilateral triangle with dimensions of 6 inches. The height of the base is 5.2 inches and the slant height of the block is 8 inches. What is the surface area of the pyramid block? ARCHITECTURE Glass skylights on the roof of Jezebelle s apartment building are in the shape of a square pyramid. The base of each skylight is 8 feet long and 8 feet wide. The slant height is 4 feet. How much glass is used to make each skylight? (Hint: The skylight does not have a glass base.) 56 Course Chapter 0 Volume and Surface Area
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