To find the length of the diagonal of the prism, we can use the Pythagorean theorem.
The diagonal is the hypotenuse of a right triangle formed by the length, width, and height of the prism.
Let's label the length as a, the width as b, and the height as c.
In this case, a = 3 cm, b = 12 cm, and c = 4 cm.
Using the Pythagorean theorem,
diagonal^2 = a^2 + b^2 + c^2
diagonal^2 = (3 cm)^2 + (12 cm)^2 + (4 cm)^2
diagonal^2 = 9 cm^2 + 144 cm^2 + 16 cm^2
diagonal^2 = 169 cm^2
Taking the square root of both sides, we get:
diagonal = √169 cm^2
diagonal = 13 cm
Therefore, the length of the diagonal of the prism is 13 cm.
Find the length of the diagonal of the prism.
3 cm wide and 12 cm wide and also 4cm long
1 answer