A storage container that is in the shape of a rectangular prism has a volume of 60 cubic feet. What could be the dimensions of the container if one dimension is 3 feet and all dimensions are whole units? Select all that apply.
A.
3 feet by 4 feet by 5 feet
B.
3 feet by 3 feet by 5 feet
C.
3 feet by 5 feet by 6 feet
D.
3 feet by 2 feet by 10 feet
E.
3 feet by 2 feet by 15 feet
A. 3 feet by 4 feet by 5 feet and B. 3 feet by 3 feet by 5 feet.
The volume of a rectangular prism is calculated by multiplying the length, width, and height of the prism. In this case, we know that the volume is 60 cubic feet and one dimension is 3 feet. We can test each of the answer choices to see if they satisfy these conditions.
A. 3 feet by 4 feet by 5 feet: This works, as 3 x 4 x 5 = 60.
B. 3 feet by 3 feet by 5 feet: This does not work, as 3 x 3 x 5 = 45.
C. 3 feet by 5 feet by 6 feet: This works, as 3 x 5 x 6 = 90.
D. 3 feet by 2 feet by 10 feet: This works, as 3 x 2 x 10 = 60.
E. 3 feet by 2 feet by 15 feet: This does not work, as 3 x 2 x 15 = 90.
Therefore, the correct answers are A, D, and C.