Question

at what angle should the base be laid with the base edge a=8, b=5 of the cuboid so that the section is a rectangle of the surface

Answer 1

The angle on which the base be laid with the base edges is approximately 57 degrees.

Step-by-step explanation:

To find the angle at which the base of the cuboid should be laid, we need to consider the dimensions of the base edges.

Let's call the angle we're looking for as angle θ.

Using the given base edge lengths a=8 and b=5, we can find the tangent of angle θ as the ratio of a to b, which is tan(θ) = a/b.

Therefore, tan(θ) = 8/5, and by taking the inverse tangent of both sides, we find that θ = arctan(8/5).

Using a calculator, we find that θ is approximately 57 degrees.