MATH-G P- Geometry Formulas Exam not valid for Paper Pencil Test Sessions
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1 MATH-G P- Geometry Formulas Exam not valid for Paper Pencil Test Sessions [Exam ID:2M8EKV 1 A soda can has a diameter of 6 centimeters and a height of 13 centimeters. Which is closest to the surface area of the can? A cm 2 B cm 2 C cm 2 D cm 2 2 If a cylinder has a volume of 27 in³, what would the volume of a cone be with the same dimensions? A 81 in³ B 9 in³ C 3 in³ D 27 in³ 1 V = πr²h V = πr²h 3 3 If it costs $3.50 per square foot, what is the approximate total cost of making this pipe that is open at both ends? A $ B $ C $ D $659.40
2 4 Cindy is wrapping a birthday present for her friend. How much wrapping paper will Cindy need to cover the present? A 180 sq in. B 220 sq in. C 110 sq in. D 200 sq in. 5 What is the volume of the cone below that has a radius of 4 inches and a slant height of 5 inches? A in 3 B in 3 C in 3 D 26 in 3
3 6 The regular pyramid below has a base area of 16 sq cm. What is the surface area of the pyramid? A 64 sq cm B 32 sq cm C 80 sq cm D 96 sq cm 7 The Great Pyramid at Giza pictured below has a square base with sides of length of 755 feet and a height of 481 feet. Approximately, what is the volume of this pyramid? A 174,677,555 ft 3 B 121,051 ft 3 C 91,394,008 ft 3 D 570,025 ft 3 8 Which is closest to the volume of a basketball with a diameter of 12 inches? A in 3 B 7, in 3 C in 3 D in 3
4 9 How much plastic will be needed to cover a beach ball with a radius of 20 inches? A 1,004.8 in 2 B 1,256 in 2 C in 2 D 5,024 in 2 10 What is the volume of a right square pyramid with a height of 4 centimeters and a base that measures 6 centimeters by 6 centimeters? A 48 cm 3 B 36 cm 3 C 96 cm 3 D 144 cm 3 11 Becky is making a necklace for a friend. She is going to paint each bead on the necklace. How much paint will Becky need? A cm 2 B cm 2 C cm 2 D cm 2 12 If the volume of a pyramid is 75 cm³, what is the area of the base if the height is 15 cm? A 7.5 cm² B 5 cm² C 1.7 cm² D 15 cm²
5 13 A rectangular prism has a volume of 150 cm³. If the height measures 3 cm and the width measures 2 cm, what must the length be to achieve the given volume? A 144 cm B 25 cm C 145 cm D 13.8 cm 14 A rectangular prism has a height of 10 cm and a width of 3 cm. If the total volume measures 90 cm 3, what is the length of this shape? A 3 cm B 6.9 cm C 77 cm D 60 cm 15 Directions: Type your answer in the box. Ben is having a pool party and needs to fill his pool up with water. The pool's shape is 1 a right rectangular prism. How many gallons of water will he need if his pool is feet tall, 20 feet long and 11 feet wide? 5 4 gallons 16 What is the approximate volume of a sphere with a diameter of 18 centimeters? A 24, cm 3 B 1, cm 3 C 3, cm 3 D 4, cm 3 17 Which is closest to the volume of a ball with a diameter equal to 8.5 inches? A in 3 B in 3 C in 3 D in 3
6 18 A cube has a base with an area of 121 square feet. What is the volume of this cube? A cubic feet B 1,331 cubic feet C 33 cubic feet D 40.3 cubic feet 19 What is the approximate volume of the solid shown below? A in 3 B in 3 C in 3 D in 3 20 A glass is in the shape of a cylinder with a height of 8 inches and a radius of 2.5 inches. About how many cubic inches of water does it hold if filled to the top? A in 3 B 172 in 3 C in 3 D 157 in 3 21 How much leather is needed to cover a basketball with a diameter of 14 inches? A in 2 B in 2 C in 2 D in 2
7 22 A can of soup has a diameter of 1.8 centimeters and a height of 5.2 centimeters. What is closest to the surface area of the can? A sq cm B sq cm C sq cm D sq cm 23 A cube has a base with an area of 324 square meters. What is the volume of this cube? A 5,803 cubic meters B 54 cubic meters C 5,832 cubic meters D 6.87 cubic meters 24 What is the surface area of a cylinder with a diameter of 8 centimeters and a height of 12 centimeters? A 704 cm 2 B cm 2 C 1, cm 2 D 352 cm 2
8 25 If the volume of this rectangular pyramid is 288 cubic meters, what is the width of the base of the pyramid? A 9 m B m C 8 m D m 26 Rectangular prism shaped crates used for shipping are 5 feet long, 5 feet wide, and 5 feet high. How many crates can be put in a shipping container that is 20 feet long, 15 feet wide, and 10 feet high? A 24 crates B 30 crates C 20 crates D 35 crates 27 If a cup has a diameter of 8 centimeters and a height of 12 centimeters, how much juice will the cup hold? A cm 3 B cm 3 C cm 3 D cm 3
9 28 How much leather will be needed to cover a ball with a diameter of 6 inches? A in 2 B in 2 C in 2 D in 2 29 A tepee in the shape of a right cone is made with waterproof material. If the material is used for everything except the floor, approximately how many square feet of material will be needed? A sq ft B sq ft C sq ft D sq ft 30 If the volume of this cone is cubic inches, what is the radius? A 25 in B 5 in C 2.89 in D 2.78 in
10 31 A rectangular prism has a length of 9 m, a width of 5 m, and its volume is 180 cubic meters. What is the height of the prism? A 3 m B 5 m C 2 m D 4 m 32 The surface area of the given cone is 1, square inches. What is the slant height? A 55 in B 39 in C 2.6 in D 25 in 33 A tepee in the shape of a right cone has a slant height of 18.5 feet and a diameter of 20 feet. Approximately how much canvas would be needed to cover the tepee? A 116 sq ft B 58 sq ft C 581 sq ft D 89 sq ft
11 34 The Great Pyramid at Giza has a square base with sides of length 230 meters and a height of meters. Approximately what is the volume of the Great Pyramid? A 1,650,000 m 3 B 4,950,000 m 3 C 2,590,000 m 3 D 7,760,000 m 3 35 A spherical paintball measures 1.5 centimeters in diameter. Approximately how much paint is in it? A 7.07 cm³ B 9.42 cm³ C 14.13³ D 1.77 cm³ 36 To the nearest gallon, what is the volume of a cylindrical water heater 1.4 feet in diameter and 4 feet tall? (1 cubic foot = 7.48 gallons) A 46 gal B 59 gal C 132 gal D 34 gal 37 A swimming pool is being filled at the rate of 12 cubic yards per minute. If the pool is 18 yards long, 10 yards wide, and 3 yards deep, how many minutes will it take to fill the pool? A 101 minutes B 1,233 minutes C 45 minutes D 540 minutes
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