To find the length of the ramp, we need to calculate the length of the diagonal of the rectangular prism, which represents the hypotenuse of a right triangle formed by the length, width, and height.
Using the Pythagorean theorem, we have:
Diagonal^2 = length^2 + width^2 + height^2
Diagonal^2 = 70^2 + 35^2 + 50^2
Diagonal^2 = 4900 + 1225 + 2500
Diagonal^2 = 8625
Taking the square root of both sides, we get:
Diagonal = √8625
Diagonal ≈ 92.9 cm
Therefore, the ramp needs to be approximately 92.9 cm long.
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
1 answer
1 answer