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W

h
Triangular Prismn width
17 inches, length = 12 inches and height = 21 inches.
V=
inches

W h Triangular Prismn width 17 inches, length = 12 inches and height = 21 inches. V-example-1

2 Answers

7 votes

Answer:

V = 0.5wlh = 0.5(17)(12)(21) = 2142in³.

User Richerlariviere
by
6.8k points
3 votes

Answer:


\boxed {\boxed {\sf v=2142 \ in^3}}

Explanation:

The volume of a triangular prism can be found by multiplying the area of the base by the height.


v=B*h

The area of a triangle can be found by multiplying the base, height, and 1/2. In this problem, the base and height are width and length.


B= (1)/(2) *w*l

Substitute this formula in for B.


v= ((1)/(2) *w*l)*h

We know that the width is 17 inches, the length is 12 inches, and the height is 21 inches. Substitute the values in.


w= 17 \ in \\l= 12 \ in \\h= 21 \ in


v= ((1)/(2)* 17 \ in * 12 \ in ) * 21 \ in

Solve inside the parentheses first. Multiply 17 and 12.


v=((1)/(2)*204 \ in^2) * 21 \ in

Finish solving the parentheses by multiplying by 1/2 or dividing by 2.


v=102 \ in ^2 * 21 \ in

Multiply.


v=2142 \ in^3

The volume of the triangular prism is 2,142 cubic inches.

User Mousius
by
7.0k points