A teacher gave each student in the class a different number of cubic blocks with edge length 1 inch. The teacher asked each student to make three different rectangular prisms using all of the blocks they had been given. Which of the following statements correctly compares the volumes of the three prisms that each student created? A If a cube can be made using all the blocks, then the cube must have the greatest volume because every face of a cube has the same area. B C D The prism with the largest base must have the greatest volume because a greater base area would result in a greater volume. The prism with the greatest height must have the greatest volume because a greater height would result in a greater volume. All three prisms must have the same volumes because they have the same number of blocks.
A teacher gave each student in the class a different number of cubic blocks with edge length 1 inch. The teacher asked each student to make three different rectangular prisms using all of the blocks they had been given. Which of the following statements correctly compares the volumes of the three prisms that each student created? A If a cube can be made using all the blocks, then the cube must have the greatest volume because every face of a cube has the same area. B C D The prism with the largest base must have the greatest volume because a greater base area would result in a greater volume. The prism with the greatest height must have the greatest volume because a greater height would result in a greater volume. All three prisms must have the same volumes because they have the same number of blocks.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:A teacher gave each student in the class a different number of cubic blocks with edge length 1 inch. The teacher asked each student to make three different rectangular prisms using all of the
blocks they had been given.
Which of the following statements correctly compares the volumes of the three prisms that each student created?
If a cube can be made using all the blocks, then the cube must have the greatest volume because every face of a cube has the same area.
B
The prism with the largest base must have the greatest volume because a greater base area would result in a greater volume.
The prism with the greatest height must have the greatest volume because a greater height would result in a greater volume.
D
All three prisms must have the same volumes because they have the same number of blocks.
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