Right triangular prism

We have cuboid with a base and dimensions of 12 cm and 5 cm and height of 4 cm. The tablecloth cut it into two identical triangular prisms with right triangular bases. The surface of the created prisms was painted with color. Calculate the surface area of one of these two triangular prisms.

Correct result:

S =  180 cm2

Solution:

a=12 cm b=5 cm c=4 cm  u1=a2+b2=122+52=13 cm u2=a2+c2=122+42=4 10 cm12.6491 cm u3=c2+b2=42+52=41 cm6.4031 cm  S1=a b+c (a+b+u1)=12 5+4 (12+5+13)=180 cm2 S2=a c+b (a+c+u2)=12 4+5 (12+4+12.6491)191.2456 cm2 S3=c b+a (c+b+u3)=4 5+12 (4+5+6.4031)204.8375 cm2  S=S1=180=180 cm2



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Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
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