Answer:
Step-by-step explanation:
Volume = length × width × height
Volume of green box = 5 ft × 3.5 ft × 6 ft
= 105 ft³
Volume of orange box = 4 ft × 5 ft × 6.5 ft
= 130 ft³
The orange box has greater volume.
390, because 10% of 1300 is 130 so 130 times 3 = 390
He needs 6/5 or 1 and 1/5 table spoons of vanilla extract
Answer:
![\large\boxed{V=42\dfrac{7}{8}\ ft^3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BV%3D42%5Cdfrac%7B7%7D%7B8%7D%5C%20ft%5E3%7D)
Step-by-step explanation:
The formula of a volume of a cube:
![V=a^3](https://tex.z-dn.net/?f=V%3Da%5E3)
<em>a</em> - edge
We have
![a=3\dfrac{1}{2}\ ft](https://tex.z-dn.net/?f=a%3D3%5Cdfrac%7B1%7D%7B2%7D%5C%20ft)
Convert to the improper fraction:
![a=\dfrac{3\cdot2+1}{2}=\dfrac{7}{2}\ ft](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B3%5Ccdot2%2B1%7D%7B2%7D%3D%5Cdfrac%7B7%7D%7B2%7D%5C%20ft)
Substitute to the formula of a volume:
![V=\left(\dfrac{7}{2}\right)^3=\dfrac{7^3}{2^3}=\dfrac{343}{8}=42\dfrac{7}{8}\ ft^3](https://tex.z-dn.net/?f=V%3D%5Cleft%28%5Cdfrac%7B7%7D%7B2%7D%5Cright%29%5E3%3D%5Cdfrac%7B7%5E3%7D%7B2%5E3%7D%3D%5Cdfrac%7B343%7D%7B8%7D%3D42%5Cdfrac%7B7%7D%7B8%7D%5C%20ft%5E3)