Respuesta :
Answer:
11 centimeters
Step-by-step explanation:
In this question, we are asked to calculate the height of a triangular pyramid given the volume, the base of the triangle and the height of the triangle
To calculate this, we use the formula below;
Mathematically V = 1/3 AH
where A is the area of the triangular base and H is the height of the pyramid.
The area of the triangular base according to the question is 1/2 * b * h = 1/2 * 10 * 6 = 30 square centimeters
Plugging these values we have
110 = 1/3 * 30 * H
110 = 10H
H = 110/10
H = 11 centimeters
Answer:
height of pyramid is 11 cm
Step-by-step explanation:
Given:-
- The volume of triangular pyramid, V = 110 cm^3
- The base of triangle, B = 10 cm
- The height of triangle, H = 6 cm
Find:-
Find the height of the pyramid.
Solution:-
- A triangular pyramid is has its base face as a right angle triangle with Base "B" and Height "H". We wil first determine the Base Area of a triangle:
Area = 0.5*B*H
Area = 0.5*10*6
Area = 30 cm^2
- The volume of a pyramid in terms of base area and height "h" of the Pyramid is given as:
Volume = (1/3)*Area*h
- Plug in the values and solve for height of pyramid "h"
h = 3*V / Area
h = 3*110 / 30
h = 11 cm
- The height of the pyramid "h" is 11 cm.
