The height of prism

A right triangle forms the base of the vertical prism 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

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