Clay's oat barn has an air vent in the shape of a rectangular prism lengthwise through the barn. Clay is able to use the entire volume of the barn, except for the air vent, to store oats. He has decided to fill the barn to capacity to be prepared for the upcoming winter and planting season.
Clay called the Farmers CO-OP and ordered
cubic feet of oats.
The volume of the barn can be calculated by finding the volume of the rectangular prism and then subtracting the volume of the air vent.
Let's assume the dimensions of the barn are:
Length (L): 20 feet
Width (W): 10 feet
Height (H): 8 feet
The volume of the barn is:
Volume = L x W x H
Volume = 20 x 10 x 8
Volume = 1600 cubic feet
If the air vent has dimensions:
Length (L): 2 feet
Width (W): 1 foot
Height (H): 1 foot
The volume of the air vent is:
Volume = L x W x H
Volume = 2 x 1 x 1
Volume = 2 cubic feet
Therefore, the usable volume of the barn to store oats is:
Usable Volume = 1600 - 2
Usable Volume = 1598 cubic feet
Since Clay ordered
cubic feet of oats, he can fill the barn to capacity without any wastage.