Question

Make the conversion indicated ineach of the following:

(a) THe men's world record long jump,29 ft 4 1/4 in., to meters
(b) the greatest depth of the ocean, about 6.5 mi, to kilometers
(c) the area of the state of Oregon, 96,981 mi2, to square kilometers
(d) the volume of 1 gill (exactly 4 oz) to mililiters
(e) the esimated volume of the oceans, 330,000,000 mi3, to cubic kilometers.
(f) the mass of a 3525-Ib car to kilograms
(g) the mass of a 2.3-oz egg to grams

Answer 1

a. 8.94715 meters

b. 10.460736 km

c. 251180.79 km²

d. 118.294118 milliliters

e. 1375440000 km³

f. 1598.9131043 kg

g. 65.203903130 grams

Step-by-step explanation:

(a) The men's world record long jump 29 ft 4 1/4 in to meters

29 ft 17/4 inches

1 ft = 0.3048 meters

29 ft = ?

cross multiply

29 × 0.3048

8.8392 meters

1 inch = 0.0254 meters

4.25 inch = ?

0.10795 meters

8.8392 meters + 0.10795 meters = 8.94715 meters

(b) the greatest depth of the ocean, about 6.5 mi, to kilometers

1 mile = 1.609344 km

6.5 miles = ?

6.5 × 1.609344

= 10.460736 km

(c) the area of the state of Oregon, 96,981 mi2, to square kilometers h

1 mile² = 2.59 km²

96,981 = ?

96,981 × 2.59

251180.79 km²

(d) the volume of 1 gill (exactly 4 oz) to milliliters

1 gill = 118.294118 milliliters

118.294118 milliliters

(e) the esimated volume of the oceans, 330,000,000 mi3, to cubic kilometers.

1 mile³ = 4.168 km³.

330,000,000 mile³ = ?

330,000,000 × 4.168 = 1375440000 km³

(f) the mass of a 3525-Ib car to kilograms

1 Ib = 0.45359237 kg

3525 Ib = ?

3525 × 0.45359237 = 1598.9131043 kg

(g) the mass of a 2.3-oz egg to grams

1 oz = 28.3495231 grams

2.3 oz = ?

2.3 × 28.3495231 = 65.203903130 grams

Answer 2

a) 8.947 m

b) 10.46 Km

c) 251.178 Km²

d) 118.294 mL

e) 1375489746 Km³

f) 1598.912 Kg

g) 65.204 g

Step-by-step explanation:

a) 4 1/4 in (4.25 in) = 0.3542 ft ⇒ 29 ft 4 1/4 in = 29.3542 ft * ( m / 3.28084 ft ) = 8.947 m

b) 6.5 mi * ( 1.60934 Km / mi ) = 10.46 Km

c) 96.981 mi² * ( 1.60934 Km / mi )² = 251.178 Km²

d) 4 Oz * ( 29.5735 mL / Oz ) = 118.294 mL

e) 330000000 mi³ * ( 1609.34 m / mi )³ * ( Km / 1000 m )³ = 1375489746 Km³

f) 3525 Lb * ( 0.453592 Kg / Lb ) = 1598.912 Kg

g) 2.3 Oz * ( 28.3495 g / Oz ) = 65.204 g