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
responses:
60.2
78.6
116.3
92.9
3 answers
78.6 cm
are you sure?
I apologize for the mistake. Let's recalculate:
The ramp will need to go from one bottom corner of the cage to the opposite top corner. This forms a right triangle and we can use the Pythagorean theorem to find the length of the ramp.
c^2 = a^2 + b^2
c^2 = 70^2 + 35^2 + 50^2
c^2 = 4900 + 1225 + 2500
c^2 = 8625
c = √8625
c ≈ 92.9 cm
So, the ramp would need to be approximately 92.9 cm long to fit diagonally in the cage.
The ramp will need to go from one bottom corner of the cage to the opposite top corner. This forms a right triangle and we can use the Pythagorean theorem to find the length of the ramp.
c^2 = a^2 + b^2
c^2 = 70^2 + 35^2 + 50^2
c^2 = 4900 + 1225 + 2500
c^2 = 8625
c = √8625
c ≈ 92.9 cm
So, the ramp would need to be approximately 92.9 cm long to fit diagonally in the cage.
1 answer