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To find the length of the ramp, we need to calculate the diagonal of the rectangular prism shaped cage. We can use the formula for the diagonal of a rectangular prism, which is given by:
diagonal = √(length^2 + width^2 + height^2)
Plugging in the values from the problem, we have:
diagonal = √(70^2 + 35^2 + 50^2)
= √(4900 + 1225 + 2500)
= √(8625)
≈ 92.9 cm
So the length of the ramp needs to be approximately 92.9 cm, which corresponds to option a.