Answer to Question #157782 in General Chemistry for Satarius A McEachern

Question

1.    A smart phone has dimensions of 4.9 inches (height), 2.3 inches (width) and 8.0 millimeters (depth). What is the volume of the smart phone in cubic centimeters? Give correct significant figures. 

Answer 1

First, we change the units into cm

1 inch $\implies$ 2.54cm, and 1mm $\implies$ 0.1 cm

Volume = l x w x d

l=(4.9 x 2.54) cm = 12.446cm

w=(2.3 x 2.54) cm = 5.842 cm

d = (8.0 x 0.1) cm = 0.8cm

Volume = (12.44 x 5.842 x 0.8 ) cm³ = 58.168 cm³