Alex want to make a paperweight at pottery cla. He deign a pyramid-like model with volume of 200 cubic centimeter. He want the paperweight to weigh at leat 300 gram. What i the lowet poible denity of the material Alex ue to make the paperweight?



Answer :

On solving the provided question, we can say that - Density is defined as mass/volume (300/200 = 1.5 g/cm3).

What is pyramid ?


Three-dimensional objects include pyramids. The base is a flat polygonal shape. All other faces are triangles and are referred to as faces. Its base has the same number of sides on all of its faces. Two crossing faces provide the line segments that make up its edges. Three dimensions can be seen in a pyramid. A pyramid has a flat triangular face and a polygonal base that unite at a single point known as the vertex. By joining the base and peak, a pyramid is created. The base's edges form triangle faces known as sides that connect to the top.

The volume for a pyramid

[tex]V = (1/3)*Abase*h[/tex]

Abase is the base area, V is the volume, and h is the height. What we have for Alexis' pyramid is

[tex]V = (1/3)*100*6 = 200 cm³[/tex]

The density must be at least: as he wants the paperweight to have a mass of at least 300 grams.

Density is defined as mass/volume (300/200 = 1.5 g/cm3).

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