Given:
Volume of triangular prism is 67.5 cubic feet
Height of triangular prism is 3 feet
Base width of triangular prism is 5 feet
Length of triangular prism is 't'
To find:
Value of 't'
Steps:
The formula for volume of triangular prism is,
volume of triangular prism = [tex]\frac{1}{2}[/tex] × Width × Height × Length
67.5 = [tex]\frac{1}{2}[/tex] × 5 × 3 × t
67.5 = [tex]\frac{1}{2}[/tex] × 15 × t
[tex]\frac{67.5}{15} = \frac{t}{2}[/tex]
[tex]4.5 = \frac{t}{2}[/tex]
[tex]4.5 * 2 = t[/tex]
[tex]9 = t[/tex]
[tex]t = 9[/tex]
Therefore the value of 't' is D) 9 feet
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