Metal pyramid

Find the weight of a regular quadrilateral pyramid with a 5 cm length and 6,5 cm body height is made from material with density g/cm3.

Correct result:

m =  433.3 g

Solution:

a=5 cm h=6.5 cm r=8 g/cm3 V=a2 h/3=52 6.5/3325654.1667 cm3 m=r V=8 54.1667=13003=433.3 ga=5 \ \text{cm} \ \\ h=6.5 \ \text{cm} \ \\ r=8 \ \text{g/cm}^3 \ \\ V=a^2 \cdot \ h/3=5^2 \cdot \ 6.5/3 \doteq \dfrac{ 325 }{ 6 } \doteq 54.1667 \ \text{cm}^3 \ \\ m=r \cdot \ V=8 \cdot \ 54.1667=\dfrac{ 1300 }{ 3 }=433.3 \ \text{g}



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