The height of prism

The base of the perpendicular prism is formed by a right triangle with perpendiculars 30 cm and 40 cm long. This prism has the same volume as a cube with an edge length of 3 dm. Find its height in cm.

Correct answer:

h =  45 cm

Step-by-step explanation:

a=30 cm b=40 cm  x=3 dm cm=3 10  cm=30 cm  V=x3=303=27000 cm3  S1=2a b=230 40=600 cm2  V=S1 h  h=V/S1=27000/600=45 cm

Did you find an error or inaccuracy? Feel free to write us. Thank you!


Tips to related online calculators
See also our right triangle calculator.
Tip: Our volume units converter will help you with the conversion of volume units.

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: