Conversions and Scientific Notation?

Question

1. A house is 80.0 ft long and 47.0 ft wide, and has 8.0-ft-high ceilings.

What is the volume of the house in cubic meters

_______m3

and in cubic centimeters?

__________cm3

2. (a) Using your calculator find, in scientific notation with appropriate rounding, the value of (2.798 104) (6.5490 109) / (5.37 104).

(b) Find the value of (3.14159 102) (26.02 104) / (1260 106).

3. Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 60 mi/h.

(a) Assuming that they start at the same point, how much sooner does the faster car arrive at a destination 14 mi away?

_______min

(b) How far must the faster car travel before it has a 15-min lead on the slower car?

_________mi

Answer 1

1) first convert feet to meters by : 1ft=0.3048m

so... 24.38m x 14.32m x 2.43m= 851.77 m^3 = 8.5 *10^2 m^3

2438cm x 1432cm x 243cm= 8.48 * 10^8 cm^3= 8.5*10^8 cm^3

2)a) 3.4 * 10^9

b) 1022998 * 10^0 = 1.0*10^5

3)1.27min