Mary is filling a jar shaped like a square prism with a bag of confetti that is labeled as containing 100 cubic inches. The base of her prism is 3 by 3 inches and the height is 10 inches. Will all the confetti fit in the jar? Explain.

Question

Mathematics

Morgan Knight

2 November, 16:25

Mary is filling a jar shaped like a square prism with a bag of confetti that is labeled as containing 100 cubic inches. The base of her prism is 3 by 3 inches and the height is 10 inches. Will all the confetti fit in the jar? Explain.

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Answers (1)

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Logan Hoover · Answer 1

The confetti will fit in the jar only if the volume of the jar is greater than or equal to the volume of the confetti that is in the bag.

Volume of confetti = 100 cubic inches

Since the jar is shaped like a square prism, its volume will be the product of its base area and the height.

So,

Volume of Square Prism = Base Area x Height

Volume of Square Prism = (3 x 3) x 10 cubic inches

Volume of Square Prism = 9 x 10 cubic inches = 90 cubic inches

Since volume of the jar is less than the volume of confetti, all the confetti will NOT FIT in the given jar.