I WILL GIVE YOU A BRILLIANT

Jessica's hamster cage is shaped like a rectangular prism. The cage has a height of 24 inches and a volume of 6,480 cubic inches. Jessica puts a piece of paper on the bottom of the cage. The paper fits the bottom of the cage perfectly.

What is the area of the paper on the bottom of the cage?

Enter your answer in the box.

in²

Respuesta :

Answer:

The area of the paper on the bottom of the cage is [tex]270\ inch^{2}[/tex]

Step-by-step explanation:

Given:-

Volume of the cage = 6480 cubic inches.

Height of the cage = 24 inches.

Solution:-

[tex]Volume = l\times b\times h[/tex]

[tex]l\times b= \frac{V}{h} \\[/tex]

[tex]l\times b =\frac{6480}{24}[/tex]

[tex]l\times b = 270[/tex]--------------(equation 1)

Now,

Area of the bottom of the cage = [tex] l\times b[/tex]

Area of the bottom of the cage = [tex]270[/tex]------------(from equation 1)

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 Therefore area of the bottom of the cage = [tex]270\ inch^{2}[/tex]  

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