Question

Mellissa has a gerbil that lives in a cage that is the shape of a rectangular prism. She wants to put a ramp to give her gerbil exercise. The cage has a length of 70 cm a width of 35 cm and a height of 50 cm. How long does the ramp need to be to fit diagonally in the cage?

Answer 1

The ramp must be the space diagonal of the rectangular prism:
d = sqrt(70^2 + 35^2 + 50^2) = sqrt(8625) = 5√345 ≈ 92.87 cm.

So about 92.9 cm long.