12 cm 4 cm 3 cm Find the length of the diagonal of the prism point )
To find the length of the diagonal of the prism, we can use the Pythagorean theorem.
The base of the prism is a rectangle, so the diagonal of the base can be found using the length and width.
Using the Pythagorean theorem, the length of the diagonal of the base is:
d = √(12^2 + 4^2)
= √(144 + 16)
= √160
≈ 12.65 cm
The height of the prism is 3 cm, so the length of the diagonal from one corner of the base to the top corner of the prism is given by:
d = √(12.65^2 + 3^2)
= √(160 + 9)
= √169
= 13 cm
Therefore, the length of the diagonal of the prism is 13 cm.