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 a gerbil exercise. The kid has a length of 70 cm a width of 35 cm in height of 50 cm how long does the ramp need to be to fit diagonally in the cage round the answer to the nearest 10th
A. 116.3 cm
B. 60.2 cm
C. 92.9 cm
D. 78.6 cm
To find the length of the ramp, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (ramp) is equal to the sum of the squares of the other two sides (length and height of the cage).
In this case, the length of the cage is 70 cm and the height of the cage is 50 cm.
Applying the Pythagorean theorem, we have:
ramp^2 = length^2 + height^2
ramp^2 = 70^2 + 50^2
ramp^2 = 4900 + 2500
ramp^2 = 7400
Taking the square root of both sides to solve for ramp, we get:
ramp ≈ √7400
ramp ≈ 86.0 cm
Rounding this answer to the nearest 10th, we get:
Answer: C. 92.9 cm