Question

A triangular prism has a base area of 7.3 cm2 and a volume of 71.54 cm3. The height of the prism must be


A triangular prism has a base area of 7.3 cm2 and a volume of 71.54 cm3. The height of the prism must be


3.65 cm

19.6 cm

7.3 cm

9.8 cm

Answers

Answered by GPT 3.5
To calculate the height of the triangular prism, we can use the formula for the volume of a prism:

Volume = (1/2) x base area x height

Substitute the values we have:

71.54 = (1/2) x 7.3 x height

Solve for height:

71.54 = 3.65 x height
height = 71.54 / 3.65
height ≈ 19.6 cm

Therefore, the height of the triangular prism must be 19.6 cm.

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