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6. a sheet of metal is 2 cm wide, 10 cm tall, and 15 cm long. it was 4 …

Question

  1. a sheet of metal is 2 cm wide, 10 cm tall, and 15 cm long. it was 4 grams. what is the density? 5. a bar of soap is 12 cm tall, 6 cm wide, and 10 cm long. it has a mass of 415 grams. what is the density of the bar of soap.

Explanation:

Step1: Calculate volume of metal sheet

Use formula $V = l\times w\times h$, where $l = 15$ cm, $w = 2$ cm, $h = 10$ cm. So $V=15\times2\times10 = 300$ $cm^{3}$.

Step2: Calculate density

Use density formula $
ho=\frac{m}{V}$, where $m = 4$ grams and $V = 300$ $cm^{3}$. So $
ho=\frac{4}{300}=\frac{1}{75}\approx0.0133$ g/$cm^{3}$.

Answer:

$\frac{1}{75}$ g/$cm^{3}$ (or approximately $0.0133$ g/$cm^{3}$)