SOLUTION: What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and the length of the altitude to that side is ha= 6 cm

Algebra ->  Surface-area -> SOLUTION: What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and the length of the altitude to that side is ha= 6 cm      Log On


   

Question 1159242: What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and the length of the altitude to that side is ha= 6 cm. Answer: V = cm3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
h=14cm
side AB+=+9cm
the altitude to that side is h%5Ba%5D=+6cm
the area of triangle: %281%2F2%29%2Abase%2Ah%5Ba%5D=%281%2F2%299cm%2A6cm

volume: the area of triangle times height

V+=++%281%2F2%299cm%2A6cm%2A14cm.....simplify
V+=++%281%2Fcross%282%29%299cm%2Across%286%293cm%2A14cm
V+=+9cm%2A3cm%2A14cm
V+=+378cm%5E3