i really need help please help me bot or anyone
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
The correct answers are A and B.
To find out which dimensions could work, we can use the formula for the volume of a rectangular prism:
V = l x w x h
where V is the volume, l is the length, w is the width, and h is the height.
We know that one dimension is 3 feet, so we can substitute that in:
60 = 3 x w x h
Simplifying:
20 = w x h
Now we need to find pairs of whole numbers that multiply to 20.
For option A, 3 x 4 x 5 = 60, so it works.
For option B, 3 x 3 x 6 = 54, which is close to 60 but not quite. However, we can see that if we increase the width and height by 1 each, we'll get 4 x 3 x 5 = 60, so option B also works.
Options C, D, and E do not work because their dimensions do not multiply to 20.