A warehouse has a height of 8\frac{1}{2}8 2 1 meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 meters. Wh
at is the volume of the warehouse?
1 answer:
Answer: ![20,706\ m^3](https://tex.z-dn.net/?f=20%2C706%5C%20m%5E3)
Step-by-step explanation:
Given
The warehouse has the following dimension
Height is ![h=8\frac{1}{2}\ m](https://tex.z-dn.net/?f=h%3D8%5Cfrac%7B1%7D%7B2%7D%5C%20m)
![h=\dfrac{17}{2}\ m](https://tex.z-dn.net/?f=h%3D%5Cdfrac%7B17%7D%7B2%7D%5C%20m)
Length is ![l=120\ m](https://tex.z-dn.net/?f=l%3D120%5C%20m)
Width is ![w=20\frac{3}{10}\ m](https://tex.z-dn.net/?f=w%3D20%5Cfrac%7B3%7D%7B10%7D%5C%20m)
![w=\dfrac{203}{10}\ m](https://tex.z-dn.net/?f=w%3D%5Cdfrac%7B203%7D%7B10%7D%5C%20m)
Volume of the warehouse is the product of height, length and width
![\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3](https://tex.z-dn.net/?f=%5CRightarrow%20V%3Dh%5Ctimes%20l%5Ctimes%20w%5C%5C%5C%5C%5CRightarrow%20V%3D%5Cdfrac%7B17%7D%7B2%7D%5Ctimes%20120%5Ctimes%20%5Cdfrac%7B203%7D%7B10%7D%5C%5C%5C%5C%5CRightarrow%20V%3D20%2C706%5C%20m%5E3)
Therefore, the length of the warehouse is
.
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