Formula for volume of a triangular:
It have three angles and it forms like a triangle is called triangular figure The volume of a triangular depends on their sides. A triangle pyramid has a triangle for a base. That is shown below.
Triangular prism
Triangular pyramid
Formula for volume of a triangular prism:
Volume = `1/2` * length * width * height.
L – Length
W – Width
H – Height
Formula for volume of a triangular pyramid
Volume of Pyramid = (1/6)abh
a – apothem length
b – Side
h – Height
Example Problems Regarding Formula for Triangular Prism:
Example 1:
The rectangular prism has its length 12 cm , width 9 cm and height 18cm. find the volume of triangular prism.
Solution :
Given that Length = 12
Width = 9
Height = 18
Formula for volume of a triangular = `1/2` * length*width*height.
= `1/2` * 12 * 9 * 18
= 0.5 * 1944
= 972
The solution for the triangular prism is = 972
Example 2:
The rectangular prism has its length 10 cm , width 8cm and height 15cm. find the volume of triangular prism.
Solution :
Given that Length = 10
Width = 8
Height = 15
Formula for volume of a triangular = `1/2` * length*width*height.
= `1/2` * 10 * 8 * 15
= 0.5 * 1200
= 600
The solution for the triangular prism is = 600
Example Problem Regarding Formula for Volume of a Triangular Pyramid:
Example 3:
The pyramid has its apothem length 8 cm , base side 4cm and height 12cm. find the volume of triangular pyramid.
Solution:
Given that a - 8 cm
b – 4 cm
h – 12 cm
Formula for volume of a triangular pyramid = (1/6)abh
a – apothem length
b – Side
h – Height
= `( 1 / 6 )` * 8 * 4 * 12
= 8 * 4 * 2
= 64
The solution for the triangular pyramid is = 63.744
Example 4:
The pyramid has its apothem length 9 cm , base side 6cm and height 13cm. find the volume of triangular pyramid.
Solution:
Given that a - 9 cm
b – 6 cm
h – 13 cm
Formula for volume of a triangular pyramid = (1/6)abh
a – apothem length
b – Side
h – Height
= `( 1 / 6 )` * 9 * 6 * 13
= 9 * 13
= 117
The solution for the triangular prism is = 116.532
It have three angles and it forms like a triangle is called triangular figure The volume of a triangular depends on their sides. A triangle pyramid has a triangle for a base. That is shown below.
Triangular prism
Triangular pyramid
Formula for volume of a triangular prism:
Volume = `1/2` * length * width * height.
L – Length
W – Width
H – Height
Formula for volume of a triangular pyramid
Volume of Pyramid = (1/6)abh
a – apothem length
b – Side
h – Height
Example Problems Regarding Formula for Triangular Prism:
Example 1:
The rectangular prism has its length 12 cm , width 9 cm and height 18cm. find the volume of triangular prism.
Solution :
Given that Length = 12
Width = 9
Height = 18
Formula for volume of a triangular = `1/2` * length*width*height.
= `1/2` * 12 * 9 * 18
= 0.5 * 1944
= 972
The solution for the triangular prism is = 972
Example 2:
The rectangular prism has its length 10 cm , width 8cm and height 15cm. find the volume of triangular prism.
Solution :
Given that Length = 10
Width = 8
Height = 15
Formula for volume of a triangular = `1/2` * length*width*height.
= `1/2` * 10 * 8 * 15
= 0.5 * 1200
= 600
The solution for the triangular prism is = 600
Example Problem Regarding Formula for Volume of a Triangular Pyramid:
Example 3:
The pyramid has its apothem length 8 cm , base side 4cm and height 12cm. find the volume of triangular pyramid.
Solution:
Given that a - 8 cm
b – 4 cm
h – 12 cm
Formula for volume of a triangular pyramid = (1/6)abh
a – apothem length
b – Side
h – Height
= `( 1 / 6 )` * 8 * 4 * 12
= 8 * 4 * 2
= 64
The solution for the triangular pyramid is = 63.744
Example 4:
The pyramid has its apothem length 9 cm , base side 6cm and height 13cm. find the volume of triangular pyramid.
Solution:
Given that a - 9 cm
b – 6 cm
h – 13 cm
Formula for volume of a triangular pyramid = (1/6)abh
a – apothem length
b – Side
h – Height
= `( 1 / 6 )` * 9 * 6 * 13
= 9 * 13
= 117
The solution for the triangular prism is = 116.532
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