## Find the volume of a regular triangular pyramid if it has height h=12 cm, base edge b=10 cm and height of the triangular base hb ≈ 8.7 cm.

Question

Find the volume of a regular triangular pyramid if it has height h=12 cm, base edge b=10 cm and height of the triangular base hb ≈ 8.7 cm.

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7 months 2021-10-25T09:09:57+00:00 2 Answers 0 views 0

116 cubic cm

Step-by-step explanation:

Volume of any pyramid is given by = 1/3(area of base* height of the pyramid)

To find the volume of given pyramid given are step

step 1:

Base of pyramid is triangular

base edge = 10 cm

height of triangular base = 8.7 ( This base is height of triangle and should not be confused with height of pyramid)

formula for area of triangle = 1/3(base * height)

substituting the value given above into the formula for area of triangle we have

area of base of pyramid = 1/3(10 * 8.7) = 29

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step two : find the volume of prism

height of prism = 12 cm

Volume of any pyramid= 1/3(area of base* height of the pyramid)

=> Volume of the given pyramid= 1/3(29* 12) = 116 cubic cm