Answer:
The volume of the triangular prism is <em>51</em><em>.</em><em>84</em><em> </em><em>cm</em><em>^</em><em>3</em>.
Step-by-step explanation:
The formula of the volume of a prism is:
V = Ah
where:
V = Volume of prism
A = Area of uniform cross-section or base of prism
h = Height of prism = 6 cm
We can substitute the information given in the problem into this formula.
To find A, we need to find the area of the triangular base.
A = bh / 2
where:
b = Base of triangle = 5.4 cm
h = Perpendicular height of triangle = 3.2 cm
We can substitute the information given in the problem into this formula.
A = ( 5.4 × 3.2 ) / 2
A = 17.28 / 2
A = 8.64 cm^2
Substitute the value of A into the original volume of a prism formula with the other information given in the problem.
V = Ah
V = ( 8.64 ) ( 6 )
V = 51.84 cm^3
