Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and ten inches tall. Sam fills the aquarium with water so that one inch of space remains at the top. How many cubic inches of water are in Sam's aquarium?

Answer :

Answer: [tex]1728\ in.^3[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular base aquarium is [tex]24\ in.\times 8\ in.\times 10\ in.[/tex]

The gap between top and water level is [tex]1\ in.[/tex] i.e. water is filled up to a height of [tex]10-1=9\ in.[/tex]

Now, the dimensions of the water in the aquarium is [tex]24\ in.\times 8\ in.\times 9\ in.[/tex]

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

The volume of water in the aquarium is

[tex]\Rightarrow V=24\times 8\times 9=1728\ in.^3[/tex]

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