Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100square 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

Amir Lowe

Mathematics

21 July, 04:03

Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100square 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?

+2

Answers (1)

Know the Answer?

Hadassah Lozano · Answer 1

1.5 gm per cubic cm

Step-by-step explanation:

Volume of pyramid is given by formula = 1/3 (area of base * height)

Given in problem

base area = 100 sq. cm

height = 6cm

therefore volume of the pyramid = 1/3 (100*6) = 200 cubic cm

Formula of density is = mass of the body / volume of the body

minimum weight of required paperweight = 300 gm

minimum density of paperweight = 300/200 = 1.5 gm per cubic cm