The volume of a rectangular prism is 36 cubic feet. Select three choices which could be the dimensions of the prism.
Responses
A 3 feet by 3 feet by 4 feet3 feet by 3 feet by 4 feet
B 4 feet by 4 feet by 10 feet4 feet by 4 feet by 10 feet
C 3 feet by 3 feet by 2 feet3 feet by 3 feet by 2 feet
D 3 feet by 2 feet by 6 feet3 feet by 2 feet by 6 feet
E 2 feet by 2 feet by 9 feet2 feet by 2 feet by 9 feet
F 5 feet by 5 feet by 8 feet
A, C, D
Amanda wants to fill this bottom shelf with the small tissue box cubes shown. How many tissue boxes can she fit in this shelf without any hanging out over the edge?
Responses
A 4 boxes4 boxes
B 3 boxes3 boxes
C 9 boxes9 boxes
D 27 boxes
C 9 boxes9 boxes
To find the dimensions of the rectangular prism, we need to consider the formula for the volume of a rectangular prism, which is length x width x height.
Let's go through each choice and calculate the volume to see if it matches the given volume of 36 cubic feet.
A. 3 feet x 3 feet x 4 feet = 36 cubic feet
B. 4 feet x 4 feet x 10 feet = 160 cubic feet
C. 3 feet x 3 feet x 2 feet = 18 cubic feet
D. 3 feet x 2 feet x 6 feet = 36 cubic feet
E. 2 feet x 2 feet x 9 feet = 36 cubic feet
F. 5 feet x 5 feet x 8 feet = 200 cubic feet
From the calculations, we can see that choices A, D, and E all have a calculated volume of 36 cubic feet, which matches the given volume. Therefore, the correct choices are:
A. 3 feet by 3 feet by 4 feet
D. 3 feet by 2 feet by 6 feet
E. 2 feet by 2 feet by 9 feet