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
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.