Question

17.
A storage container is shaped like a rectangular prism. The volume of the container is 1,360 cubic feet. The area of the base of the container is 160 square feet. What is the height of the container in feet?

Answer 1

To find the height of the container, we can use the formula for the volume of a rectangular prism:

Volume = length x width x height

Given:
Volume = 1,360 cubic feet
Area of the base = 160 square feet

Since the base is a rectangle, we can determine the length and width of the base:

Area of base = length x width
160 = length x width

Now, we need to find the length and width by finding factors of 160:

1 x 160 = 160
2 x 80 = 160
4 x 40 = 160
5 x 32 = 160
8 x 20 = 160
10 x 16 = 160

Since the length and width are both factors of 160, one possible combination is:
Length = 10 feet
Width = 16 feet

Now we can plug in the values into the volume formula and solve for the height:

1,360 = 10 x 16 x height
1,360 = 160 x height
Height = 1,360 / 160
Height = 8.5 feet

Therefore, the height of the container is 8.5 feet.