A storage container that is in the shape of a rectangular prism has a volume of 60 ft.³ what could be the dimensions of the container if one dimension is 3 feet and all the dimensions are whole units
If one dimension of the rectangular prism is 3 feet, and the volume is 60 ft³, we can find the other two dimensions by dividing the volume by the given dimension.
Let's call the other two dimensions x and y. We know that the volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
Given:
l = 3 ft
V = 60 ft³
Using the formula V = lwh, we can solve for the dimensions x and y:
60 = 3xy
20 = xy
Since we want the dimensions to be whole units, we can find the factors of 20 that are closest to 3.
Factors of 20:
1, 2, 4, 5, 10, 20
If we choose x = 4 and y = 5, we get:
l = 3 ft
w = 4 ft
h = 5 ft
Therefore, the dimensions of the storage container could be 3 ft x 4 ft x 5 ft.