Q:

Find the volume of the pyramid. Round to the nearest tenth if necessary.Question 3 options:15,120 ft35,040 ft315,498 ft35,166 ft3

Accepted Solution

A:
You need to remember Formula for Volume of rectangular pyramid Volume = LBH/3 L,B,H represents usual notation length ,breadth,height respectivelyHere 41ft is hypotenuse So first we need Height As apex lies above CentreHence Base = 18/2 = 9Now Height = √(41^2 -9^2)= √1681-81= √1600= 40Now We can easily find Volume L= 21 B= 18H= 40Volume = 21×18×40/3 = 7× 18 × 40= 5040 ft3