Jed wants to buy an aquarium that holds more than 12,500 cubic inches of water. The pet shop has four aquariums for sale in the shape of rectangular prisms.Which of these sizes of aquariums could Jed buy? 25 inches × 25 inches × 20 inches 60 inches × 12 inches × 18 inches 22 inches × 22 inches × 22 inches 48 inches × 12 inches × 24 inches
Question
Jed wants to buy an aquarium that holds more than 12,500 cubic inches of water. The pet shop has four aquariums for sale in the shape of rectangular prisms.Which of these sizes of aquariums could Jed buy? 25 inches × 25 inches × 20 inches 60 inches × 12 inches × 18 inches 22 inches × 22 inches × 22 inches 48 inches × 12 inches × 24 inches
Solution
To determine which aquariums Jed could buy, we need to calculate the volume of each aquarium and see if it's more than 12,500 cubic inches. The volume of a rectangular prism (or a box) is calculated by multiplying its length, width, and height.
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For the first aquarium, the volume is 25 inches × 25 inches × 20 inches = 12,500 cubic inches. This aquarium is exactly 12,500 cubic inches, but Jed wants one that holds more than 12,500 cubic inches, so this one won't work.
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For the second aquarium, the volume is 60 inches × 12 inches × 18 inches = 12,960 cubic inches. This aquarium holds more than 12,500 cubic inches, so Jed could buy this one.
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For the third aquarium, the volume is 22 inches × 22 inches × 22 inches = 10,648 cubic inches. This aquarium holds less than 12,500 cubic inches, so Jed cannot buy this one.
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For the fourth aquarium, the volume is 48 inches × 12 inches × 24 inches = 13,824 cubic inches. This aquarium holds more than 12,500 cubic inches, so Jed could buy this one.
So, Jed could buy the second and fourth aquariums.
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