Answer:
[tex]200in^3[/tex]
Step-by-step explanation:
To solve this, we are using the formula for the volume of a rectangular prism:
[tex]V=whl[/tex]
where
[tex]w[/tex] is the width of the base
[tex]l[/tex] is the length of the base
[tex]h[/tex] is the height of the prism
We know from our problem that the height is 10 inches. The length of the base is 6 inches. The width of the base is 5 inches.
Replacing values
[tex]V=(5in)(10in)(6in)[/tex]
[tex]V=300in^3[/tex]
Now, to find 2/3 of that volume, we just need to multiply it by 2/3
[tex]\frac{2}{3} V=\frac{2}{3} 300in^3[/tex]
[tex]\frac{2}{3} V=200in^3[/tex]
We can conclude that 2/3 of the volume of the vase is 200 cubic inches.
