Right triangular prism

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

Correct answer:

S =  180 cm2

Step-by-step explanation:

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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Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2   video3

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