is a one-story building, having dimensions of 80 ft. x 50 ft. x 20 ft. high, encloses a volume of 8000 cubic feet, and has a floor space of 400 square feet?
This is a big warehouse
80*50 = 4000 not 400
4000 * 20 = 80,000
To determine if a one-story building with dimensions of 80 ft. x 50 ft. x 20 ft. high encloses a volume of 8000 cubic feet and has a floor space of 400 square feet, we can calculate the volume and floor space of the given dimensions and compare them with the given values.
1. Calculating the volume:
The volume of a rectangular prism (like a building) is calculated by multiplying its length, width, and height. So, in this case, the volume would be:
Volume = Length x Width x Height
Volume = 80 ft. x 50 ft. x 20 ft.
Volume = 80,000 cubic feet
Comparing the calculated volume of 80,000 cubic feet with the given volume of 8000 cubic feet, it is clear that the given value must be incorrect or there is some misunderstanding.
2. Calculating the floor space:
The floor space of a building is calculated by multiplying its length and width. In this case, the floor space would be:
Floor Space = Length x Width
Floor Space = 80 ft. x 50 ft.
Floor Space = 4000 square feet
Comparing the calculated floor space of 4000 square feet with the given value of 400 square feet, it is evident that there is a discrepancy between the two values.
In conclusion, based on the given dimensions, the calculated volume is 80,000 cubic feet, which differs from the given volume of 8000 cubic feet. Additionally, the calculated floor space is 4000 square feet, which differs from the given floor space of 400 square feet. Therefore, it seems that either some information is incorrect or there is a misunderstanding in the given values.