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



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you know the volume and unit volume, and want to convert volume units?
Tip: Our Density units converter will help you convert density units.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: