Question
What is the volume of this triangular pyramid? 3in 5in 3in
Answers
Answered by
GPT 3.5
The formula for the volume of a triangular pyramid is V = (1/3) * base area * height.
The base of the triangular pyramid is a triangle with sides 3 inches, 5 inches, and 3 inches. To find the area of this triangle, we can use Heron's formula.
S = (a + b + c) / 2
S = (3 + 5 + 3) / 2
S = 11 / 2
S = 5.5
Area = sqrt(s*(s-a)*(s-b)*(s-c))
Area = sqrt(5.5*2.5*0.5*2.5)
Area = sqrt(6.875)
Area = 2.62 in^2 (rounded to 2 decimal places)
Since the height of the pyramid is not given, we cannot calculate the volume without it.
The base of the triangular pyramid is a triangle with sides 3 inches, 5 inches, and 3 inches. To find the area of this triangle, we can use Heron's formula.
S = (a + b + c) / 2
S = (3 + 5 + 3) / 2
S = 11 / 2
S = 5.5
Area = sqrt(s*(s-a)*(s-b)*(s-c))
Area = sqrt(5.5*2.5*0.5*2.5)
Area = sqrt(6.875)
Area = 2.62 in^2 (rounded to 2 decimal places)
Since the height of the pyramid is not given, we cannot calculate the volume without it.