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)
116.3 cm
○ 60.2 cm
92.9 cm
○ 78.6 cm

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of the ramp needed, we can use the Pythagorean theorem to calculate the diagonal of the rectangular prism.

The diagonal of a rectangular prism can be calculated using the formula: d = √(l^2 + w^2 + h^2), where l is the length, w is the width, and h is the height.

Plugging in the values:
d = √(70^2 + 35^2 + 50^2)
d = √(4900 + 1225 + 2500)
d = √(8625)
d ≈ 92.9 cm

Therefore, the ramp needs to be approximately 92.9 cm long to fit diagonally in the cage. The closest rounded answer is 92.9 cm.