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Question 1
1.
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Question 2
2.
Evaluate the volume of the solid. (Round your answer to the nearest tenth.)
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Question 3
3.
Evaluate the volume of the solid. (Round your answer to the nearest tenth.)
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Question 4
4.
Evaluate the volume of the solid. (Round your answer to the nearest tenth.)
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Question 5
5.
Evaluate the volume of the solid. (Round your answer to the nearest tenth.)
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Question 6
6.
Evaluate the volume of the solid. (Round your answer to the nearest tenth.)
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Question 7
7.
For the pair of solids, determine if their volumes are the same or different. If the volumes are different, identify the solid with the greatest volume. Don't just guess. Be able to explain your reasoning.
A prism and a pyramid have the same height. The pyramid’s base has 3 times the area of the prism's base.
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Question 8
8.
The Kranks are installing a heart-shaped hot tub. If the tub is going to be 2.5 feet deep, what is the volume of the water that will fit in the tub when it is full?
(Round your answer to the nearest tenth.)
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Question 9
9.
For the pair of solids, determine if their volumes are the same or different. If the volumes are different, identify the solid with the greatest volume. Don't just guess. Be able to explain your reasoning.
A pyramid and a cylinder have bases with the same area. The cylinder’s height is 3 times that of the pyramid.
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Question 10
10.
The Future Farmers of America club at the high school is building and selling bird feeders to raise money to attend a competition. The design of the bird feeder is a cylinder with a hemisphere top (see diagram below). How much bird seed will each feeder hold?
(Round your answer to the nearest tenth.)
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Question 11
11.
For the pair of solids, determine if their volumes are the same or different. If the volumes are different, identify the solid with the greatest volume. Don't just guess. Be able to explain your reasoning.
A cone and a cylinder have the same height. The cone’s radius is 3 times the length of the cylinder’s radius.
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Question 12
12.
Joseph has been learning about volume in school and is curious about the volume of leaves in the tree outside his window. ignoring any air between the leaves and branches, work out an estimate for the volume of the tree seen in the given figure.
Give your answer rounded to the nearest tenth.
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Question 13
13.
Calculate the volume of liquid that would fill the bowl of each glass.
(Round your answer to the nearest tenth.)
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Question 14
14.
For the pair of solids, determine if their volumes are the same or different. If the volumes are different, identify the solid with the greatest volume. Don't just guess. Be able to explain your reasoning.
Rectangular prism A measures 3 inches by 4 inches by 8 inches. Rectangular prism B measures 5 inches by 5 inches by 6 inches. Which prism has the greatest volume or are they equal?
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Question 15
15.
Calculate the volume of liquid that would fill the bowl of each glass.
(Round your answer to the nearest tenth.)
The bowl of Glass 2 has a cylindrical top and a hemispherical base.
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Question 16
16.
For the pair of solids, determine if their volumes are the same or different. If the volumes are different, identify the solid with the greatest volume. Don't just guess. Be able to explain your reasoning.
A pyramid has a square base with sides of length 4 units and a cone has a diameter of 4 units. Both have a height of 10 units. Compare the two volumes of the two solids.
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Question 17
17.
Calculate the volume of liquid that would fill the bowl of each glass.