Question

What is the volume of the triangular prism? A triangular prism. The base of the triangular face is 5.4 centimeters and the height of the face is 3.2 centimeters. The height of the prism is 6 centimeters.

Answer 1

Answer:

The volume of the triangular prism is 51.84 cm^3.

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