A solid square pyramid has a mass of 750 g. It is made of a material with a density of 8.05 g/cm'. Given that the height of the pyramid is 13.5 cm, find the
length of its square base.

Step-by-step explanation:

The unit of a volume:

The unit of a density:

The density is

Substitute:

cross multiply

divide both sides by 8.05g

The formula of a volume of a square pyramid:

a - length of  square base

H - height of a pyramid

We have:

Substitute:

multiply both sides by 3

divide both sides by 13.5

Step-by-step explanation:

volume of pyramid=1/3×base area×height

let the length of base=x

base area=x²

volume V=1/3×x²×13.5=4.5 x²

mass=volume×density

750=4.5 x²×8.05=36.225 x²

x²=750/36.225

x=√(750/36.225)≈4.55 cm

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step-by-step explanation: