The area of the plastic mat on the bottom of the cage is 310 inches²
Step-by-step explanation:
Eloise's rabbit cage is shaped like a rectangular prism
- The cage has a height of 28 inches
- Its volume is 8,680 cubic inches
- Eloise bought a plastic mat for the bottom of the cage, the plastic mat fits the bottom of the cage perfectly
We need to find the area of the plastic mat on the bottom of the cage
The volume of a rectangle prism = area of base × its height
∵ The height of the cage = 28 inches
∵ The volume of the cage = 8,680 inches³
- Substitute them in the rule of the volume above
∴ 8680 = area of base × 28
- Divide both sides by 28
∴ 310 = area of the base
∴ The area of the base of the cage is 310 inches²
∵ The plastic mat fits the bottom of the cage
- That means the area of the plastic mat is equal to the area
of the bottom of the cage
∴ The area of the plastic mat = 310 inches²
The area of the plastic mat on the bottom of the cage is 310 inches²
Learn more:
You can learn more about the volume in brainly.com/question/12497249
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