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1 Convert the units. 1) 15 km = m Answer: 15,000 m 12) Paperback book height: 19 (mm, cm, m, km) Answer: cm 2) 3.27 m = cm Answer: 327 cm 13) Hammer length: 33 (mm, cm, m, km) Answer: cm 3) 907 mm = cm Answer: 90.7 cm 4) 1898 cm = dam Answer: ) km = mm Answer: ) 60 in. = ft Answer: 5 7) 10,560 ft = mi Answer: 2 14) Vacation drive: 340 (cm, km, mm, m) Answer: km Find the perimeter of the figure. 15) A square with side lengths of 5 in. Answer: 20 in. 16) A rectangle 6 m 7 m Answer: 26 m 17) A rectangle 2.1 m 6.2 m Answer: 16.6 m 18) A rectangle 110 m 120 m Answer: 460 m 8) 21 yd = ft Answer: 63 19) 44 m 20 m 9) 7040 yd = mi Answer: 4 10) 10 yd = in. Answer: 360 Answer: 128 m 20) 42 m 33 m Choose the most reasonable unit of measure. 11) Basketball court length: 24 (mm, cm, m, km) Answer: m Answer: 150 m 1
2 21) 17 yd 9 yd Answer: 44 yd 18 yd Find the circumference or arc length. Leave your answer in terms of pi. 22) A circle with diameter 20 mi Answer: 20 mi 23) A circle with diameter 12.7 ft Answer: 12.7 ft 24) A circle with radius 3.5 mi Answer: 7 mi 25) A circle with radius 2.75 mi Answer: 5.5 mi 26) A semicircle with diameter 12 ft Answer: 6 ft Convert the units. 32) 2736 in.2 = ft2 Answer: 19 33) 25 ft2 = yd2 Answer: ) 647 mm2 = cm2 Answer: ) 92 m2 = cm2 Answer: 920,000 Find the area of the figure. 36) A square with side lengths of 17 m Answer: 289 m2 37) A rectangle with side lengths of 14 in. and 11 in. Answer: 154 in.2 38) 34 in. 27) A semicircle with radius 11.5 ft Answer: 11.5 ft 21 in. 5 in. 12 in. 28) A semicircle with diameter 8.2 mi 17 in. Answer: 4.1 mi Answer: 1051 in.2 29) An arc with central angle 60 and radius 7 in. Answer: 2.33 in. 30) An arc with central angle 287 and radius 4 ft Answer: 6.38 ft 39) 53 cm 36 cm 29 cm 49 cm 31) An arc with central angle 295 and radius 8 cm Answer: 1553 cm2 Answer: cm 2
3 Find the area. 40) 12 yd 48) 8 m 11 m 26 yd 18 yd Answer: 390 yd2 41) 11 m 42) 13 m Answer: 143 m2 27 cm Answer: 540 cm2 40 cm 44 cm Find the area. Leave your answer in terms of pi. 43) A circle with diameter 22 yd Answer: yd2 44) A circle with radius 11.5 mi Answer: mi2 45) A semicircle with diameter 13 cm Answer: cm2 46) A circle with circumference 30 m Find the area. Answer: 225 m 47) 20 in. 26 in. 16 in. 10 in. Answer: 470 in.2 18 m Answer: 180 m2 6 m Use 3.14 for. Round your answer to the nearest hundredth. 49) How much will it cost to carpet a 18 ft by 13 ft room if carpeting costs $19.00 per square yard? Answer: $ ) A one-story building is 290 ft by 240 ft. If a square patio with sides 17 ft occupies the center of the building, how much area remains for offices? Answer: 69,311 ft2 51) Glenda wants to glue glitter over a piece of felt shaped like a parallelogram with a height of 58 in. and a base of 54 in. If the glitter costs $1.20 per ft2, how much will it cost to cover the felt? Answer: $ ) Johnny can't decide which size pizza to order. The 10-inch cheese and sausage pizza is $4.99, while the 12-inch deluxe is $5.99. The dimensions given are the diameters of the pizzas. If he gets the 10-inch pizza, the total price will be divided among 3 people. If he chooses the 12-inch pizza, then the total price will be divided among 4 people. Which is the better buy? How much will each person pay? Answer: 12-inch pizza; $ ) Find the missing length in the following right triangle. If necessary, round to the nearest 3 cm Answer: 9.5 cm 10 cm 3
4 54) Find the missing length in the following right triangle. If necessary, round to the nearest 14 mi Answer: 14.3 mi 20 mi 55) Find the value for x in the cube. Use exact values. 60) Find the perimeter of the polygon with the following vertices. A(-8, -6), B(2, 4), C(4, -6) Answer: ) Find the perimeter of the polygon with the following vertices. A(1, 1), B(2, 4), C(5, 4), D(3, 3), E(3, 0) Answer: ) Find the surface area of a right rectangular prism 5 ft 4 ft 5 ft. Answer: 130 ft2 2 ft 63) Find the surface area of a cube with an edge length of 7 ft. Answer: 2 3 ft Answer: 294 ft2 Round the answer to the nearest tenth, if necessary. 56) The side view of a plan for a slanted roof shows a vertical rise of 2 ft and a horizontal run of 20ft. Find the length of the roof slope. Answer: 20.1 ft 57) A rope connects the top of a pole to the ground. The rope is 28 yd long and touches the ground 25 yd from the pole. How tall is the pole? Answer: 12.6 yd 58) A painter leans a ladder against one wall of a house. The ladder is 25 ft long. The base of the ladder is 19 ft from the house. How high is the wall of the house? Answer: 16.2 ft 59) Find the length of AB. Round your answer to the nearest A(2, 6), B(4, 3) Answer: ) Find the surface area of a right regular square pyramid with a side 8 in. and a slant height of 8 in. Answer: 192 in.2 65) Find the surface area of a right regular hexagonal pyramid with sides 3 cm and slant height 8 cm. Round your answer to the nearest hundredth. Answer: cm2 Find the surface area of the figure. Use 3.14 as an approximation for. Round your result to the nearest 66) A right circular cylinder with r = 9 cm, h = 4 cm Answer: cm2 67) A sphere with r = 12 cm Answer: cm2 68) A sphere with r = 2 3 in. Answer: 5.6 in.2 4
5 Convert the units. 69) 96 qt = gal Answer: 24 70) 61 ft3 = yd3 Answer: ) Find the volume of a cube measuring 12 in. on each edge. Answer: 1728 in.3 72) Find the volume of a box 13 cm 22 cm 20 cm. Answer: 5720 cm3 73) Three people build a rectangular shed 7 ft wide, 5 ft long, and 6 ft high. About how many ft3 does the shed contain? 78) Find the volume of a cylinder with diameter 8.4 cm and height 4.4 cm. Use 3.14 for. Round your answer to the nearest Answer: cm3 79) Find the volume of a sphere with radius 10 in. Use 3.14 for. Round your answer to the nearest Answer: in.3 80) A cylindrical drain pipe is 4 inches across the top and about 9 inches high. How many cubic inches of water could it hold (to the nearest hundredth)? Answer: in.3 81) A sphere has a 12 m diameter. What is its volume to the nearest hundredth? Answer: m3 Answer: 210 ft3 74) Find the volume of a triangular pyramid with base area 21 ft2 and height 2 ft. Find the result to the nearest unit. Answer: 14 ft3 75) Find the volume of a rectangular pyramid with base 25 m2 and height 8 m. Find the result to the nearest unit. Answer: 67 m3 76) At $3.70 per in.3, how much will it cost to fill an aquarium with dimensions of in in in.? Answer: $ ) Find the volume of a cylinder with radius 6 cm and height 5 cm. Use 3.14 for. Round your answer to the nearest Answer: cm3 5
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