Mrs. Lakshi asks her geometry students to describe how to create a right prism with a volume of 24 cubic units. Dorothee says that the prism could be a right rectangular prism where the base is 2 X 3 square units and the height is 4 units. Bai says that the prism could be a right triangular prism where the base is a 3-4-5 right triangle and the height is 4 units. Which of the following statements best explains which student described a correct prism with a volume of 24 cubic units? A Both students described a prism with the correct volume because the product of the area of the base of the prism and the height of the prism is 24 cubic units for both prisms. B C D Neither student described a prism with the correct volume because the product of the area of the base of the prism and the height of the prism is not 24 cubic units for either prism. Only Bai described a prism with a volume of 24 cubic units because Dorothee's prism has a volume that is half of the area of the base times the height. Only Dorothee described a prism with 24 cubic units because Bai's prism has a base with area 3 x 4 x 5, which is 60 square units.
Mrs. Lakshi asks her geometry students to describe how to create a right prism with a volume of 24 cubic units. Dorothee says that the prism could be a right rectangular prism where the base is 2 X 3 square units and the height is 4 units. Bai says that the prism could be a right triangular prism where the base is a 3-4-5 right triangle and the height is 4 units. Which of the following statements best explains which student described a correct prism with a volume of 24 cubic units? A Both students described a prism with the correct volume because the product of the area of the base of the prism and the height of the prism is 24 cubic units for both prisms. B C D Neither student described a prism with the correct volume because the product of the area of the base of the prism and the height of the prism is not 24 cubic units for either prism. Only Bai described a prism with a volume of 24 cubic units because Dorothee's prism has a volume that is half of the area of the base times the height. Only Dorothee described a prism with 24 cubic units because Bai's prism has a base with area 3 x 4 x 5, which is 60 square units.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.4: Special Products
Problem 55PPS
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