Triangular 8227

The teacher cast the gold in the shape of a regular triangular pyramid with a base edge length of 12 cm and a height of 8 cm. The density of gold is 19,320 kg/m3. What is the weight of the casting?

Correct answer:

m =  3.2125 kg

Step-by-step explanation:

h=19320 kg/m3 a=12 cm v=8 cm  S1=3/4 a2=3/4 122=36 3 cm262.3538 cm2  V=31 S1 v=31 62.3538 8=96 3 cm3166.2769 cm3  m=h V/1003=19320 166.2769/1003=3.2125 kg

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