Respuesta :

The length of the height of the prism is 6 m

Calculating the volume of a prism

From the question, we are to determine the length of the height of the prism

The volume of a prism is given by the formula,

Volume = width × base × height

Thus,

Height = Volume / (width × base)

From the given information,

base = 5 m

width =  3m

Volume = 90 m³

Putting the parameters into the formula, we get

Height = 90 /(3 × 5)

Height = 90 / 15

Height = 6 m

Hence, the length of the height of the prism is 6 m

Learn more on Calculating volume here: https://brainly.com/question/23766958

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