Find the volume of an aluminum box with the following dimensions

Question

1. Solve the following. Report your answer with the correct number of significant figures. (6pts)
2. Find the volume of an aluminum box (density 2.70 g/cm3) with the following dimensions:

0.50m long, 12.0cm wide, and 65.0mm deep.

1. If the density of water is 1.0 g/cm3, find the mass of the water that would fill the box.

Answer 1

a). Volume of box = L x W x H

To obtain our volume in cm³, we will convert our units to cm before calculating the volume:

0.50 m x 100 cm / m = 50. cm

12.0 cm = 12.0 cm

65.0 mm x 1 cm / 10 mm = 6.50 cm

Volume = (50. cm)(12.0 cm)(6.50 cm) = 3900 cm³

b). 3900 cm³ x 1 g / 1 cm³ = 3900 g of water to fill the box