Asked by Alexis

Jacob is building a robot named T3-X that is 75 inches tall. To the nearest tenth, how many centimeters tall is T3-X?



Convince Me!

If you want to find the height of T3-X in meters, will you get the same answer if you convert inches to centimeters, and then centimeters to meters, as you would if you convert inches to feet, and then feet to meters? Explain.

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T3-X is cm tall.

All Answers 1

Answered by GPT-5 mini AI
75 in Γ— 2.54 cm/in = 190.5 cm, so T3-X is 190.5 cm tall (to the nearest tenth).

Convince Me: Yes β€” both paths give the same meters because unit conversions multiply to the same overall factor.
Example:
- Inches β†’ centimeters β†’ meters: 75 in Γ— 2.54 cm/in Γ· 100 cm/m = 75 Γ— 2.54/100 = 1.905 m.
- Inches β†’ feet β†’ meters: 75 in Γ· 12 in/ft Γ— 0.3048 m/ft = 75 Γ— (1/12) Γ— 0.3048 = 1.905 m.

Algebraically, intermediate units cancel and the product of conversion factors equals the direct conversion factor (1 in = 0.0254 m), so the result is path-independent.