WorksheetsMTH208B Unit 6 Test Review
Total questions: 10
Worksheet time: 25mins
Which three-dimensional figure is formed by the rotation given?
Determine the distance x to the horizon from a viewpoint that is 8 miles above the surface of the Earth. The radius of the Earth is approximately 3959 miles. Round your answer to the nearest mile.
187 miles
252 miles
1,249 miles
54 miles
A fish tank is in the shape of a rectangular prism with dimensions 36 in. × 12 in. × 12 in. The tank is 80% filled with water. A stone, roughly the shape of a sphere with a 4 in. radius, is placed in the tank. The stone sinks to the bottom.
How many cubic inches of space in the fish tank remain in the tank after the stone is added to the tank?
Use 3.14 for pi. Round the volume of the stone and your final answer to the nearest cubic inch.
4147.2 cubic inches
1036.8 cubic inches
50.24 cubic inches
768.85 cubic inches
A pet store is designing a new fish tank. One flat sheet of glass that measures 36 inches by 24 inches will be used to create each tank. The production process starts with cutting a square with side length x out of each corner.
Which expression can be used to determine the greatest possible volume of the fish tank?
(36 - x)(36-2x)2x
(36 - 2x)(24 - 2x)x
(x - 36)(x - 24)2x
(2x - 36)(2x - 24)x
A 5m tall tree trunk has a circumference of 4.71m. Use a cylinder to approximate the volume of the tree trunk. Use π = 3.14 and round your answer to the nearest cubic meter.
8.83 cubic meter
10.42 cubic meter
4.71 cubic meter
9.17 cubic meter
In 2010, the population of Idaho Falls was 56,813. Idaho Falls land area is about 23.14 sq miles. To the nearest whole number, what was Idaho Fall's population density in 2010>
3,543 people per sq mi.
2852 people per sq mi.
4,250,132 people per sq mi
2,455 people per sq mi
In 2010, the population of Parma, Idaho was 1,983. and the population density was 1,907 people/sq mi. What was Parma's land area?
2.45 sq mi.
1.04 sq mi.
1.64 sq mi.
5.1 sq mi.
You have a rock with a volume of 15cm^3 and a mass of 45 g. What is its density?
3 g/cm^3
1.5 g/cm^3
2 g/cm^3
3.4 g/cm^3
A sculptor has a copper piece in the shape of a rectangular prism. The piece measures 4 ft by 0.9 ft by 1.6 ft and its mass is 894 kilograms.
437.98 kg/ft^3
140.67 kg/ft^3
213.45 kg/ft^3
155.21 kg/ft^3
