To find the length of the ramp, we can use the Pythagorean theorem.
The diagonal of the cage can be found by finding the diagonal of the base, which is a rectangle with length 70 cm and width 35 cm, and the height of the cage. The diagonal D can be found using the formula
D = √(L^2 + W^2 + H^2),
where L is the length, W is the width, and H is the height of the prism.
Substituting the given values, we get
D = √(70^2 + 35^2 + 50^2)
= √(4900 + 1225 + 2500)
= √(8625)
≈ 92.9 cm
Therefore, the ramp needs to be approximately 92.9 cm long, rounded to the nearest tenth.
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)
1 answer