you must solve the problem! show your work!\n• for solids is lxwxh = volume\n• density = mass/volume\n11…

you must solve the problem! show your work!\n• for solids is lxwxh = volume\n• density = mass/volume\n11. mass = 48g\nl = 2cm w = 3cm h = 4cm\n• what is the volume?\n• what is the density?\n12. mass = 60g\nl = 4cm w = 5cm h = 6cm\n• what is the volume?\n• what is the density?\n13. mass = 63g\nl = 1cm w = 7cm h = 3cm\n• what is the volume?\n• what is the density?\n14. mass = 16g\nl = 4cm w = 4cm h = 4cm\n• what is the volume?\n• what is the density?
Answer
Explanation:
Step1: Calculate volume of rectangular - prism
For a rectangular - prism, the volume formula is $V = L\times W\times H$. For problem 12: $L = 4\text{cm}$, $W = 5\text{cm}$, $H = 6\text{cm}$ $V=4\times5\times6 = 120\text{cm}^3$
Step2: Calculate density
The density formula is $\rho=\frac{m}{V}$, where $m$ is mass and $V$ is volume. For problem 12: $m = 60\text{g}$, $V = 120\text{cm}^3$ $\rho=\frac{60}{120}=0.5\text{g/cm}^3$ For problem 13: $L = 1\text{cm}$, $W = 7\text{cm}$, $H = 3\text{cm}$ $V = 1\times7\times3=21\text{cm}^3$ $\rho=\frac{63}{21}=3\text{g/cm}^3$ For problem 14: $L = 4\text{cm}$, $W = 4\text{cm}$, $H = 4\text{cm}$ $V=4\times4\times4 = 64\text{cm}^3$ $\rho=\frac{16}{64}=0.25\text{g/cm}^3$
Answer:
- Volume: $120\text{cm}^3$, Density: $0.5\text{g/cm}^3$
- Volume: $21\text{cm}^3$, Density: $3\text{g/cm}^3$
- Volume: $64\text{cm}^3$, Density: $0.25\text{g/cm}^3$