Question

Find the diagonal of the prism. 12 cm on left, 3 cm on bottom and 3 cm on the right.

Answer 1

To find the diagonal of the prism, we can use the Pythagorean theorem.

Let's consider the right triangle formed by the diagonal, the bottom, and the right side of the prism.

Using the Pythagorean theorem, we have:

diagonal² = right side² + bottom²
diagonal² = 3² + 3²
diagonal² = 9 + 9
diagonal² = 18

Taking the square root of both sides to solve for the diagonal, we have:

diagonal = √18

Since √18 can be simplified, we have:

diagonal = √(9 * 2)
diagonal = 3√2

Therefore, the diagonal of the prism is 3√2 cm.