Answer:
310 inches²
Step-by-step explanation:
Given: A rectangular prism cage has a height of 28 inches.
Volume of prism is 8680 cubic inches.
We know the area of base of rectangular prism is equal to the area of rectangle.
∴ Lets find out the lenght and width of rectangular prism.
Volume of rectangular prism= [tex]w\times l\times h[/tex]
Where, w is width
l is length
h is height.
Now, putting the value in the formula of volume.
⇒ [tex]8,680= w\times l\times 28[/tex]
cross multiplying
⇒ [tex]wl= \frac{8680}{28}[/tex]
∴ wl= 310 inches²
As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.
Area of rectangle= [tex]wl[/tex]
∴ Area of rectangle= 310 inches²
Hence, 310 inches² is the area of the plastic mat on the bottom of the cage.
