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In Japan, farmers have created watermelons in the shape of rectangular prisms. Find the volume of a prism-shaped watermelon in cubic inches if its length is 10inches,its width is 2/3 foot, and its height is 9 inches.

Respuesta :

The answer to this mathematical problem is 723.6 cubic inches. First, you convert 2/3 foot to inches (which is 8.04 inches). Then solve for the volume. 
JeanaShupp

Answer: [tex]720\ inches^3[/tex]

Step-by-step explanation:

Given: The length of the prism = 10 inches

The height of the prism = 9 inches

The width of the prism =[tex]\frac{2}{3}\ foot[/tex]

We know that 1 foot = 12 inches

Then, width of the prism = [tex]\frac{2}{3}\times12=8\ inches[/tex]

The volume of rectangular prism is given by :_

[tex]V=lwh\\\\\Rightarrow\ V=10\times8\times9\\\\\Rightarrow\ V=720\ inches^3[/tex]

Hence, the volume of a prism-shaped watermelon =[tex]720\ inches^3[/tex]

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