Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?

Question

Carissa Coleman

Mathematics

28 November, 15:18

Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?

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Answers (1)

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Cohen Giles · Answer 1

1 g/cm³

Step-by-step explanation:

Volume of the model:

V=1/3bh = 1/3*100*6 = 300 cm³

Density = weight/volume = 300 g/300 cm³ = 1 g/cm³

The lowest density is 1 g/cm³