Mitchell's family is moving across town. They are busy packing their furniture into a moving van. The storage space in the moving van is shaped like a rectangular prism. It has a floor area of 14 square meters and a height of 2 meters. What is the volume of the moving van's storage space?
The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.
We are given the floor area of the rectangular prism as 14 square meters. The formula for the area of a rectangle is A = lw. So we can say that lw = 14.
We are also given the height of the rectangular prism as 2 meters. So we can substitute these values into the formula for the volume:
V = lwh
V = (lw)(h)
V = (14)(2)
V = 28
Therefore, the volume of the moving van's storage space is 28 cubic meters.
To find the volume of the moving van's storage space, we need to multiply the floor area by the height.
Given:
Floor area = 14 square meters
Height = 2 meters
Volume = Floor area x Height
Volume = 14 square meters x 2 meters
Volume = 28 cubic meters
Therefore, the volume of the moving van's storage space is 28 cubic meters.