High School

A cube-like crystal has a length of 6.00 cm, a width of 6.00 cm, and a height of 0.0600 m. Calculate its volume with the correct significant figures.

Answer :

Final answer:

The volume of the cube-shaped crystal given the dimensions 6.00 cm by 6.00 cm by 6.00 cm (after unit conversion) is 216 cm³.

Explanation:

The subject here is the calculation of the volume of a cube. The volume of a cube is given by the formula V = l * w * h, where 'l' is the length, 'w' is the width, and 'h' is the height. Here, the length is 6.00 cm, the width is 6.00 cm, and the height is 0.0600 m. However, when working with measurements and calculations, units need to be consistent, so converting all measurements to the same unit is essential. Here, 0.0600 m converts to 6.00 cm (since 1m = 100cm). Therefore, the volume using the correct significant figures is V = 6.00 cm * 6.00 cm * 6.00 cm = 216 cm³.

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