Question

Make the conversion indicated ineach of the following:

Answer 1

Explanation:

(a) The length of a soccer field, 120 m (three significant figures), to feet.

1 m = 3.28084 feet

$120 m=120\times 3.3 feet=396 feet$

(b) The height of Mt. Kilimanjaro, at 19,565 ft the highest mountain in Africa, to kilometers

1 feet = 0.0003048 km

$19,565 feet=19,565\times 0.0003048 km=5.963412 km$

(c) The area of an 8.5 ×11-inche sheet of paper in $cm^2$.

Area of the sheet = 8.5 inches × 11 inches = 93.5 $inches^2$

$1 inch = 2.54 cm$

$93.5 inches^{2}=93.5\times (2.54)^2 cm^2=603.2246 cm^2$

(d) The displacement volume of an automobile engine, 161 $inch^3$, to liters.

$1 inch^3 = 0.0163871 L$

$161 inch^3=161\times 0.0163871 L=2.63832 L$

(e) The estimated mass of the atmosphere, $5.6\times 10^{15} tons$, to kilograms.

1 ton = 907.185 kg

$5.6\times 10^{15} tons=5.6\times 10^{15}\times 907.185 kg$

$=5.08023\times 10^{18} kg$

(f) The mass of a bushel of rye,32.0 Ib, to kilograms

1 lb = 0.453592 kg

$32.0 lb =32.0\times 0.453592 kg=14.515 kg$

(g) The mass of a 5.00-grain aspirin tablet to milligrams.

(1 grain = 0.00229 oz)

Mass of 5 grains = 5 × 0.00229 oz = 0.01145 oz

1 oz = 28349.5 mg

$0.01145 oz=0.01145\times 28349.5 mg=324.601775 mg$