Question

Iron has a density of 7.874 g/cm³. If you have a block of iron measuring 14.57cm by 6.87cm by 4.31cm, what would the mass of the block be?

Round your answer to the nearest whole number of grams.
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Answer 1

To find the mass of the block of iron, multiply its density by its volume. The mass of the block is approximately 3389 grams.

Step-by-step explanation:

To find the mass of the block of iron, we can use the formula mass = density × volume. We are given the density of iron as 7.874 g/cm³, and the dimensions of the block as 14.57cm by 6.87cm by 4.31cm. To find the volume, we multiply these dimensions together:

volume = 14.57cm × 6.87cm × 4.31cm = 430.56024373 cm³

Then, we can use the formula to find the mass:

mass = density × volume = 7.874 g/cm³ × 430.56024373 cm³ = 3389.44751142 g

Rounding to the nearest whole number, the mass of the block is approximately 3389 grams.

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