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 cage? Round the answer to the nearest tenth.(1 point)
Responses
92.9 cm
92.9 cm
116.3 cm
116.3 cm
78.6 cm
78.6 cm
60.2 cm
To find the length of the ramp, we need to find the diagonal of the rectangular prism, which represents the longest possible length the ramp can be.
Using the formula for finding the diagonal of a rectangular prism: diagonal = √(length² + width² + height²), we can substitute the given measurements into the formula:
diagonal = √(70² + 35² + 50²)
diagonal = √(4900 + 1225 + 2500)
diagonal = √(8625)
diagonal ≈ 92.9 cm