A container in the shape of a rectangular prism has a base with an area of 19 1/2 square inches. If the container is filled with water to a height of 4 1/2 inches, how much water is in the container?

Respuesta :

Answer: Water in the container = 87.75 cu.inches.

Step-by-step explanation:

Formula: Volume of rectangular prism = Base area x height

Base area = [tex]19\dfrac12[/tex] sq. inches    Height = [tex]4\dfrac12[/tex] inches

So,

Volume of container = [tex]19\dfrac12\times4\dfrac12\text{ cu.inches}[/tex]

[tex]=\dfrac{39}{2}\times\dfrac{9}{2}\text{ cu.inches}[/tex]

[tex]=\dfrac{351}{4}\text{ cu.inches}[/tex]

[tex]=87.75\text{ cu. inches}[/tex]

Hence, Water in the container = 87.75 cu.inches.