A rectangular object weighs 2445 g and its density is 12.9 g/cm3. When measured, its height is 7.43 cm and its width is 3.45 cm. How long is the object?

Question

density = mass/volume

Answer 1

First, find the volume of the object:

--- 2445 g x 1 cm³/12.9 g = 189.5 cm³

 

Next, use the formula for the volume of the rectangular object to find the length.

--- Volume of rectangular object = L x W x H

189.5 cm3 = (7.43 cm)(3.45 cm)(L cm)

L = 189.5/(7.43)(3.45)

L = 7.39 cm (3 significant figures)