The base of a triangular pyramid is a triangle with corners at (1 ,2 ), (9 ,5 ), and (4 ,7 ). If the pyramid has a height of 9 , what is the pyramid's volume?
2 Answers
Apr 1, 2018
Volume of a pyramid is
Explanation:
Volume of a pyramid is
Area of Triangle is
Volume of a pyramid is
cubic.unit [Ans]
Apr 1, 2018
Explanation:
"the volume (V) of a pyramid is calculated using"
"the formula"
•color(white)(x)V=1/3xx"area of base "xx"height"
"the area of the base (A) is calculated using"
•color(white)(x)A=1/2|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|
"let "(x_1,y_1)=(1,2),(x_2,y_2)=(9,5),(x_3,y_3)=(4,7)
A=1/2|1(5-7)+9(7-2)+4(2-5)|
color(white)(A)=1/2|-2+45-12|=31/2
rArrV=1/3xx31/2xx9=93/2