Melissa has a girl 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 in 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 round to the nearest town 92.9 116.3 60.278.6

1 answer

To find the length of the ramp needed to fit diagonally in the cage, we can use the Pythagorean theorem. The diagonal length of a rectangular prism can be found by taking the square root of the sum of the squares of the three dimensions.

So, the diagonal length is √(70^2 + 35^2 + 50^2) ≈ √(4900 + 1225 + 2500) ≈ √8625 ≈ 92.9 cm.

Rounding this value to the nearest tenth, the length of the ramp needed is 92.9 cm.

Therefore, the correct answer is 92.9 cm.