The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an identical height. Which of the following statements accurately describe the relationship between the volumes of the prism and the cylinder? Select all that apply. O The volumes of both solids are measured in square units because each has a volume equal to the sum of the areas of its bases. O The volume of the prism is the product of three dimensions, while the volume of the cylinder is the product of two dimensions. O The volume of the prism is equal to the volume of the cylinder because the solids have identical base areas and identical heights. O The volume of each solid can be found by multiplying the area of its base by its height.
The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an identical height. Which of the following statements accurately describe the relationship between the volumes of the prism and the cylinder? Select all that apply. O The volumes of both solids are measured in square units because each has a volume equal to the sum of the areas of its bases. O The volume of the prism is the product of three dimensions, while the volume of the cylinder is the product of two dimensions. O The volume of the prism is equal to the volume of the cylinder because the solids have identical base areas and identical heights. O The volume of each solid can be found by multiplying the area of its base by its height.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 39E
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Transcribed Image Text:The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an
identical height.
Which of the following statements accurately describe the relationship between the volumes of the
prism and the cylinder? Select all that apply.
O The volumes of both solids are measured in square units because each has a volume equal to the sum of the
areas of its bases.
O The volume of the prism is the product of three dimensions, while the volume of the cylinder is the product of
two dimensions.
O The volume of the prism is equal to the volume of the cylinder because the solids have identical base areas
and identical heights.
O The volume of each solid can be found by multiplying the area of its base by its height.
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