MODELING REAL LIFE The diagram shows the dimensions of a block of ice. Ice has a density of about 0.92 gram
per cubic centimeter. Find the mass of the block of ice. Round your answer to the nearest whole number.
3.5 in.
7.5 in.
11.5 in.
The mass is about__
grams.

Respuesta :

278 grams 3.5 times 7.5 times 11.5 is 301.875. Times .92 is 277.725

Answer:

  4551 grams

Step-by-step explanation:

You want the mass in grams of a block of ice with dimensions 3.5 in by 7.5 in by 11.5 in and density 0.92 g/cm³.

Mass

The mass is the product of volume and density.

  m = ρV

  m = (0.92 g/cm³) × (3.5 in)(7.5 in)(11.5 in) × (2.54 cm/in)³

  m ≈ 4551 g

The mass is about 4551 grams.

__

Additional comment

The density being in metric units means we need to do units conversion. We do that by multiplying by a conversion factor that has the units we want in the numerator (cm) and the units we don't want in the denominator (in).

Both units are cubed, so we have to cube the conversion factor. The numbers in the conversion factor are equals:

  2.54 cm = 1 in.

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