Ambria received flowers for Valentine's Day that were in a vase shaped like a rectangular prism. If the vase measured 12 inches long, 6 inches wide, and 10 inches high and was filled with water 4 inches from the top, what is the volume of the water that will be in the vase?

Respuesta :

Answer: [tex]432\ in.^3[/tex]

Step-by-step explanation:

Given

The dimension of a rectangular prism is [tex]12\times 6\times 10\ in.^3[/tex]

Water is filled [tex]4\ in.[/tex] from the top i.e. [tex]10-4=6\ in.[/tex] high

base area for the water is the same i.e.  [tex]12\ in.\times 6\ in.[/tex]

The volume of rectangular prism is [tex]l\times b\times h[/tex]

The volume of water in the vase is given by

[tex]\Rightarrow V=12\times 6\times 6=432\ in.^3[/tex]

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