Question

answer the questions below. give exact integer or decimal answers. be sure to include the correct units in your answers. (a) an object has a mass of 272 g and a density of 17 \\(\frac{g}{cm^3}\\). what is the volume of the object? volume = \\(\square\\) (b) another object has a volume of 50 \\(cm^3\\) and a density of 40 \\(\frac{g}{cm^3}\\). what is the mass of the object? mass = \\(\square\\)

Explanation:

Step1: Recall density formula

$\text{Density} = \frac{\text{Mass}}{\text{Volume}}$

Step2: Rearrange for volume

$\text{Volume} = \frac{\text{Mass}}{\text{Density}}$

Step3: Substitute values for (a)

$\text{Volume} = \frac{272\ \text{g}}{17\ \frac{\text{g}}{\text{cm}^3}}$

Step4: Calculate volume for (a)

$\text{Volume} = 16\ \text{cm}^3$

Step5: Rearrange density formula for mass

$\text{Mass} = \text{Density} \times \text{Volume}$

Step6: Substitute values for (b)

$\text{Mass} = 40\ \frac{\text{g}}{\text{cm}^3} \times 50\ \text{cm}^3$

Step7: Calculate mass for (b)

$\text{Mass} = 2000\ \text{g}$

Answer:

(a) $16\ \text{cm}^3$
(b) $2000\ \text{g}$