Question

calculate the density
1 mass 20 kg volume 5 ml
2 mass 50 kg volume 150 ml
3 mass 350 kg volume 50 ml
d = m/v
mass 75 kg volume 15 ml
mass 125 kg volume 5 ml

Explanation:

Step1: Recall density formula

The density formula is $D=\frac{M}{V}$, where $D$ is density, $M$ is mass and $V$ is volume.

Step2: Calculate density for case 1

Given $M = 20\ kg$ and $V=5\ ml$, then $D_1=\frac{20}{5}=4\ kg/ml$.

Step3: Calculate density for case 2

Given $M = 50\ kg$ and $V = 150\ ml$, then $D_2=\frac{50}{150}=\frac{1}{3}\ kg/ml\approx0.33\ kg/ml$.

Step4: Calculate density for case 3

Given $M = 350\ kg$ and $V = 50\ ml$, then $D_3=\frac{350}{50}=7\ kg/ml$.

Step5: Calculate density for case 4

Given $M = 75\ kg$ and $V = 15\ ml$, then $D_4=\frac{75}{15}=5\ kg/ml$.

Step6: Calculate density for case 5

Given $M = 125\ kg$ and $V = 5\ ml$, then $D_5=\frac{125}{5}=25\ kg/ml$.

Answer:

Case 1: $4\ kg/ml$
Case 2: $\frac{1}{3}\ kg/ml\approx0.33\ kg/ml$
Case 3: $7\ kg/ml$
Case 4: $5\ kg/ml$
Case 5: $25\ kg/ml$