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Dmitry_Shevchenko [17]

2 years ago

10

In November 1987, a massive iceberg broke loose from the antartic ice mass and floated free in the ocean. The chunk of ice was e

stimated to be 98 mi long, 25 mi wide, and 750 ft thick. A typical backyard swimming pool contains about 24,000 gallons of water. How many of these pools could you fill from the water in this iceberg? (Assume the iceberg is a rectangular solid of the above dimensions and consists of water only). Express answer in scientific notation.

2 answers:

salantis [7]2 years ago

4 0

<h2>Answer:</h2>

1.58 × 10∧16 pools.

<h3>Explanation:</h3>

Given:

Length of ice berg= 98 miles = 1557716 meters

Width of iceberg = 25 miles = 40233.6 meters

Thickness of iceberg = 750 ft = 230 meters

Volume of water in a swimming pool = 24,000 gallons = 90850 liters

The volume of the ice berg:

Volume = Length . width . thickness

Volume = 1557716 . 40233.6 . 230 = 1,441, 468, 016, 5248 m3 = 1,441, 468, 016, 5248 × 10 ∧3 L.

1 pool contains liters of water: 90850 liters

1,441, 468, 016, 5248 × 10 ∧3 liters contains = 1/90850 . 1,441, 468, 016, 524.8 × 10 ∧3 .

= 1.100 . 1,441, 468, 016, 5248 × 10 ∧3 L.

= 1.58 × 10∧16 pools.

Hence 1.6 × 10∧16 pools will be filled with that chunk of ice.

nekit [7.7K]2 years ago

3 0

Answer:

$1.5964\times 10^{10}$ pools can be filled from the water in this iceberg.

Explanation:

Length of an iceberg ,l= 98 miles =157.71 km

(1 mile = 1.60934 km)

Width of an iceberg,w = 25 miles = 40.23 km

Depth of an iceberg ,h= 750 feet = 0.2286 km

1 foot = 0.0003048 km

Volume of an iceberg, V= l × w × h = $1,450.3923 km^3$

$1 km^3=10^{12} dm^3$

$V=1.4504\times 10^{15} dm^3=1.4504\times 10^{15} L$

$1 dm^3= 1L$

Number of swimming pools that can be filled by the water in an iceberg be x.

Volume of swimming pool = v = 24,000 gallons = 90,849.84 L

( 1 gal = 3.78541 L)

v = $24,000 \times 3.78541 L=90,849.84 L$

$x\times v=V$

$x=\frac{V}{v}=\frac{1.4504\times 10^{15} L}{90,849.84 L}$

$x=1.5964\times 10^{10}$

$1.5964\times 10^{10}$ pools can be filled from the water in this iceberg.

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