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
Section9.2: Pyramids, Area, And Volume
Problem 33E
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf6367b2-b6ae-4be5-bf3a-c6ca9d773748%2Fa3d85b72-e1da-40de-8f54-1e303a85a873%2Fz5krtjg_processed.jpeg&w=3840&q=75)
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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