Melissa has a gerbil that lives in a cage in the shape of a rectangular prism. She wants to put a ramp in the cage 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 xage

1 answer

To find the length of the ramp, we need to calculate the length of the diagonal of the cage.

Using the formula for the diagonal of a rectangular prism, which is √(length^2 + width^2 + height^2), we can substitute the given values:

Diagonal = √(70^2 + 35^2 + 50^2)
= √(4900 + 1225 + 2500)
= √8625
≈ 92.92 cm

Therefore, the ramp needs to be approximately 92.92 cm long to fit diagonally in the cage.