A storage container that is 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. 3ft by 4ft by 5 ft
b. 3ft by 3ft by 5ft
c. 3ft by 5ft by 6ft
d. 3ft by 2ft by 10ft
e. 3ft by 2ft by 15 ft
The other two dimensions must have a product of 20 (since 3 x 20 = 60). The only possible combinations of two whole numbers whose product is 20 are 1 x 20, 2 x 10, and 4 x 5. So the possible dimensions are:
a. 3ft by 4ft by 5 ft (volume = 60 cubic feet)
b. 3ft by 3ft by 5ft (volume = 45 cubic feet)
c. 3ft by 5ft by 4ft (volume = 60 cubic feet)
d. 3ft by 2ft by 10ft (volume = 60 cubic feet)
e. 3ft by 4ft by 5ft (volume = 60 cubic feet)
Therefore, the correct answers are a, b, and d.