A certain type of material has a mass of 2.5 grams per cubic centimeter. A bar of this material in the shape of a rectangular solid has a mass of 800 grams. If the bar is 3 centimeters wide and is 3 × as long as it is high, approximately how many centimeters high is the bar?

If the height were 6 centimeters, the length would be 18 centimeters (3 times the height). This would give a volume of 6 cm × 3 cm × 18 cm = 324 cubic centimeters, which exceeds the calculated volume of 320 cubic centimeters based on the density. Therefore, this option is not feasible.

If the height were 18 centimeters, the length would be 54 centimeters (3 times the height). This would result in a volume of 18 cm × 3 cm × 54 cm = 2916 cubic centimeters, which is significantly larger than the required 320 cubic centimeters. Thus, this option is impossible.

With a height of 27 centimeters, the length would be 81 centimeters. The volume would then be 27 cm × 3 cm × 81 cm = 6561 cubic centimeters, which also far exceeds the required volume. Therefore, this scenario cannot be correct.

If the height were 35 centimeters, the length would be 105 centimeters. This results in a volume of 35 cm × 3 cm × 105 cm = 11025 cubic centimeters, well beyond the calculated volume of 320 cubic centimeters. Thus, this option is not plausible.