To find the length of the ramp that will fit diagonally in the cage, we can use the Pythagorean theorem.
The diagonal of a rectangular prism can be found using the formula:
Diagonal = √(length^2 + width^2 + height^2)
Plugging in the values we have:
Diagonal = √(70^2 + 35^2 + 50^2)
Diagonal = √(4900 + 1225 + 2500)
Diagonal = √(8625)
Diagonal ≈ 92.8 cm
Therefore, the ramp needs to be approximately 92.8 cm long to fit diagonally in the cage.
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 fit diagonally in the cage? round the answer to the nearest tenth
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