Find the length of the diagonal of the prism.
height:12
width:3
length:4
To find the length of the diagonal of the prism, we need to use the Pythagorean theorem. The height, width, and length of the prism form a right-angled triangle, with the diagonal as the hypotenuse.
Using the Pythagorean theorem, we have:
diagonal^2 = height^2 + width^2 + length^2
diagonal^2 = 12^2 + 3^2 + 4^2
diagonal^2 = 144 + 9 + 16
diagonal^2 = 169
Taking the square root of both sides to find the diagonal, we have:
diagonal = sqrt(169)
diagonal = 13
Therefore, the length of the diagonal of the prism is 13 units.