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Sagot :

Answer:

9 ft

Step-by-step explanation:

its volume is equal to the area by height;

(2.5 x 3)h = 67.5

h = 9ft

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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