Step-by-step explanation:
Volume of a pyramid is:
V = ⅓ AH
where A is the area of the base and H is the height of the pyramid.
The base is a triangle. Area of a triangle is:
A = ½ bh
where b is the base length and h is the height.
A = ½ (4)(1.5)
A = 3
V = ⅓ (3)(9)
V = 9
The volume is 9 in³.
The volume of the triangular pyramid with a triangular base is 9 cubic inches.
The volume of the triangular pyramid with a height h and base area B is
Volume = 1/3 × B × h cubic units
The area of a triangle is 1/2 × b × h sq. units
where b - base and h - height the triangle.
It is given that a triangular pyramid has a triangular base with
base length b = 4 inches
height of the triangle h = 1.5 inches and
height of the pyramid = 9 inches
So, the volume of the pyramid = 1/3 × B × h
Where base area B = 1/2 × b × h
⇒ B = 1/2 × 4 × 1.5
= 3.0 sq. inches
And the volume = 1/3 × 3.0 × 9
= 9 cubic inches.
Therefore, the volume of the given triangular pyramid is 9 cubic inches.
Learn more about the volume of the triangular pyramid here:
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