To find the length of the diagonal of the prism, we can use the Pythagorean theorem.
The diagonal of the prism is the hypotenuse of a right triangle whose legs are the height of the prism and the diagonal of its base.
Let's label the height of the prism as 'h' and the diagonal of its base as 'd'.
Using the Pythagorean theorem, we have:
d^2 = 12^2 + 4^2
d^2 = 144 + 16
d^2 = 160
d = √160
d ≈ 12.65 cm
Therefore, the length of the diagonal of the prism is approximately 12.65 cm.
12 cm
4 cm
3 cm
Find the length of the diagonal of the prism
1 answer