Answer:
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
____________________________________________________
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