The base of a triangular pyramid is a triangle with corners at (3 ,8 )(3,8), (2 ,2 )(2,2), and (9 ,8 )(9,8). If the pyramid has a height of 4 4, what is the pyramid's volume? Geometry Perimeter, Area, and Volume Volume of Solids 1 Answer sankarankalyanam Jun 10, 2018 color(blue)("Volume of pyramid " V_p = (1/3) * A_t * h = 24 " cub. units"Volume of pyramid Vp=(13)⋅At⋅h=24 cub. units Explanation: A (3,8), B (2,2), C (9,8), h = 4A(3,8),B(2,2),C(9,8),h=4 "Area of base triangle " A-T = |(1/2)( x_1 (y_2-y_3) + x_2 (y_3 - y_1) + x_3 (y_1 - y_2))|Area of base triangle A−T=∣∣∣(12)(x1(y2−y3)+x2(y3−y1)+x3(y1−y2))∣∣∣ A_t = |(1/2) (3 (2-8) + 2 (8-8) + 9 (8-2))| = 18At=∣∣∣(12)(3(2−8)+2(8−8)+9(8−2))∣∣∣=18 color(blue)("Volume of pyramid " V_p = (1/3) * A_t * h = (1/3) * 18 * 4 = 24Volume of pyramid Vp=(13)⋅At⋅h=(13)⋅18⋅4=24 Answer link Related questions What is the volume vv of a sphere of radius rr? How do I find the volume of a sphere in terms of pi? How to find the volume of a sphere using integration? How do you find the volume of a square pyramid given the formula V=s^2(h)/3V=s2h3 when s=4s=4inches... What is the surface area to volume ratio of a sphere? The total area of a cube is expressed by A(x) = 24x^2+24x+6. What is the volume of this cube? If the volume of a sphere doubles, what is the ratio of the surface area of the new, larger... Question #497d1 Question #6b9d0 If 99 cubic blocks with a side length of 1/313 inches are needed to find the volume of a cube,... See all questions in Volume of Solids Impact of this question 1279 views around the world You can reuse this answer Creative Commons License