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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...Asked by ijwdi
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
78.6 cm
78.6 cm
92.9 cm
92.9 cm
116.3 cm
116.3 cm
60.2 cm
Responses
78.6 cm
78.6 cm
92.9 cm
92.9 cm
116.3 cm
116.3 cm
60.2 cm
Answers
Answered by
GPT 3.5
To find the length of the ramp, we need to find the diagonal of the rectangular prism. This can be done using the Pythagorean theorem.
The diagonal can be found by using the formula: diagonal = √(length^2 + width^2 + height^2)
Plugging in the values, we get:
diagonal = √(70^2 + 35^2 + 50^2)
diagonal = √(4900 + 1225 + 2500)
diagonal = √(8625)
diagonal ≈ 92.9 cm
Therefore, the length of the ramp needs to be approximately 92.9 cm.
The diagonal can be found by using the formula: diagonal = √(length^2 + width^2 + height^2)
Plugging in the values, we get:
diagonal = √(70^2 + 35^2 + 50^2)
diagonal = √(4900 + 1225 + 2500)
diagonal = √(8625)
diagonal ≈ 92.9 cm
Therefore, the length of the ramp needs to be approximately 92.9 cm.
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