# Height of the cuboid

Cuboid with a rectangular base, measuring 3 cm and 4 cm diagonal has a body 13 centimeters long. What is the height of the cuboid?

Correct result:

c =  12 cm

#### Solution:

$a=3 \ \text{cm} \ \\ b=4 \ \text{cm} \ \\ u=13 \ \text{cm} \ \\ \ \\ s^2=a^2 + b^2 \ \\ s=\sqrt{ a^2+b^2 }=\sqrt{ 3^2+4^2 }=5 \ \text{cm} \ \\ \ \\ u^2=c^2 + s^2 \ \\ \ \\ c=\sqrt{ u^2-s^2 }=\sqrt{ 13^2-5^2 }=12 \ \text{cm}$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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