A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm.

a) Find the height of the prism
b) Calculate the surface of the prism
c) What percentage of the cube's surface is prism surface area?

Correct answer:

a) h =  1423 cm
b) S =  40806.3 cm2
c) p =  755.7 %

Step-by-step explanation:

x=13232=12.65 cm S1=212.653=18.97 cm2 V=(103)3=27000=S1h h=18.9727000=1423 cm
S=2S1+h(13+3+12.65)=40806.3 cm2
Sk=6(103)2=5400 cm2  p=100SkS=755.7%

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