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

1 answer

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.