Question

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

60.2 cm
60.2 cm

78.6 cm
78.6 cm

92.9 cm
92.9 cm

116.3 cm

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of the ramp, we can use the Pythagorean theorem. The diagonal of the rectangular prism (which represents the diagonal of the cage) can be found using the formula:

diagonal = sqrt(length^2 + width^2 + height^2)

Plugging in the values we have:
diagonal = sqrt(70^2 + 35^2 + 50^2)
diagonal = sqrt(4900 + 1225 + 2500)
diagonal = sqrt(8625)

Rounding this to the nearest tenth, the length of the ramp needs to be approximately 92.9 cm.