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16 questions
A paper drinking cup in the shape of a cone has a height of 10 centimeters and a diameter of 8 centimeters. Which of the following is closest to the volume of the cup in cubic centimeters?
167 cm3
209 cm3
670 cm3
502 cm3
The Central Cinema Theater sells popcorn in two different containers as shown. The conical container sells for $1.75 and the cylindrical container sells for $3.75. Which container of popcorn is the better deal?
Container A is the better deal at $0.015 per cubic inch.
Container B is the better deal at $0.021 per cubic inch.
Container A is the better deal at $0.021 per cubic inch.
Container B is the better deal at $0.015 per cubic inch.
Samuel cut a cone from a piece of wood shaped as a cylinder. He measured the circumference of the base of the cylinder and found it measures 9.42 inches. The height of the cylindrical piece of wood is 6 inches. What is the approximate volume of Samuel's cone if it has the same base area and height as the cylinder?
18.84 in3
42.37 in3
139.39 in3
14.12 in3
A cylinder has a radius of 8 inches and a 12 inch height. What happens to the volume of the cylinder if the radius is doubled?
The volume of the cylinder is doubled.
The volume of the cylinder is tripled.
The volume of the cylinder is quadrupled.
The volume of the cylinder is 8 times larger.
A large ice cream cone has a radius of 1.5 inches and a height of 4 inches. Janie orders 1 scoop of ice cream that fills the top of the cone so that half of the sphere of ice cream is above the cone and half is pushed into the cone. Which is closest to the volume of the cone not filled with ice cream?
9 cubic inches
14 cubic inches
7 cubic inches
2 cubic inches
A rectangular prism is shown with the shaded region representing the base of the prism. What is the lateral surface area of this prism?
375 cm2
56 cm2
337 cm2
38.5 cm2
Jonathan shipped a birthday gift to his grandmother in a cubical box. Which is closest to the total surface area of the box?
16 square feet
15 square feet
8 square feet
38 square feet
Look at the cylinder, which of these could be used to find the lateral surface area of this cylinder?
S = 2(3.14)(10.6)(37)
S = 2(3.14)(10.6)2
S = 2(3.14)(10.6)(37) + 2(3.14)(10.6)2
S = 2(3.14)(10.6)(37) - 2(3.14)(10.6)2
Using the triangular prism shown in the diagram, determine which is the closest to the lateral surface area of this prism?
133.5 mm2
59.1 mm2
32.4 mm2
610.76 mm2
Thomas is building an enclosed container in the shape of a rectangular prism to house his pet tarantula. The dimensions of the container are 0.75 feet wide, 15.2 inches long, and 6.5 inches tall. How many square inches of plastic will Thomas need to build the lateral surface area of the container?
207.35 in2
314.6 in2
588.2 in2
889.2 in2
A pup tent has a canvas floor as well as canvas sides. About how much canvas will be needed to construct the tent?
31.8 square yards
40.5 square yards
51.6 square yards
43.8 square yards
A patio umbrella is connected to a 6-foot long pole to hold the umbrella upright, as shown in the diagram. What is h, the total height in feet from the base of the pole to top of the umbrella?
10 feet
4 feet
5.8 feet
11.8 feet
A rancher installed a rectangular gate alongside a 3-foot long section of fencing as shown. What is l, the total length in feet across the gate and fence section?
16.9 feet
13.9 feet
15 feet
12 feet
A side view of a desk telephone is shown in the diagram. Which of the following is closest to the value of x?
2 cm
10 cm
20 cm
6 cm
Mrs. Gonzales wants to string lights along both diagonals of a rectangular window, as shown. What is the minimum length of lights Mrs. Gonzales will need?
5 feet
7 feet
10 feet
14 feet
The Anderson's are selling their cows next week. A loading ramp needs to be built next to their barn. The ramp will be 20 feet long with a height of 18 inches. How far out will the ramp extend? Round answer to the nearest hundredth.
397.75 feet
22.25 feet
19.94 feet
15 feet
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