Question

you must solve the problem! show your work!

• for solids is lxwxh = volume
• density = mass/volume

1. mass = 48g

l = 2cm w = 3cm h = 4cm

• what is the volume?
• what is the density?

1. mass = 60g

l = 4cm w = 5cm h = 6cm

• what is the volume?
• what is the density?

1. mass = 63g

l = 1cm w = 7cm h = 3cm

• what is the volume?
• what is the density?

1. mass = 16g

l = 4cm w = 4cm h = 4cm

• what is the volume?
• what is the density?

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 $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.
For problem 12: $m = 60\text{g}$, $V = 120\text{cm}^3$
$
ho=\frac{60}{120}=0.5\text{g/cm}^3$
For problem 13:
$L = 1\text{cm}$, $W = 7\text{cm}$, $H = 3\text{cm}$
$V = 1\times7\times3=21\text{cm}^3$
$
ho=\frac{63}{21}=3\text{g/cm}^3$
For problem 14:
$L = 4\text{cm}$, $W = 4\text{cm}$, $H = 4\text{cm}$
$V=4\times4\times4 = 64\text{cm}^3$
$
ho=\frac{16}{64}=0.25\text{g/cm}^3$

Answer:

1. Volume: $120\text{cm}^3$, Density: $0.5\text{g/cm}^3$
2. Volume: $21\text{cm}^3$, Density: $3\text{g/cm}^3$
3. Volume: $64\text{cm}^3$, Density: $0.25\text{g/cm}^3$