Question

finding volume to calculate density

1. volume of a solid. if a __________ shape, use a rule the appropriate __________ equation

• cube or rectangle prism: v = ____________
• cylinder: v = ____________
• measured in ____________

example #1: what is the density of a 15 g box measuring 10 cm by 5 cm by 2 cm?

Explanation:

Step1: Fill in volume - related blanks

For a regular - shaped solid, use the appropriate volume equation. For a cube or rectangular prism, the volume formula is $V = l\times w\times h$ (length times width times height). For a cylinder, the volume formula is $V=\pi r^{2}h$ (pi times the square of the radius times the height). Volume is measured in cubic units (e.g., $cm^{3}$, $m^{3}$ etc.).

Step2: Solve the example

First, find the volume of the box. Given $l = 10$ cm, $w = 5$ cm, $h = 2$ cm. Using the formula $V=l\times w\times h$, we have $V=10\times5\times2=100$ $cm^{3}$.
The density formula is $
ho=\frac{m}{V}$, where $m = 15$ g and $V = 100$ $cm^{3}$. So $
ho=\frac{15}{100}=0.15$ g/$cm^{3}$.

Answer:

1. Regular; volume; $l\times w\times h$; $\pi r^{2}h$; cubic units
2. $0.15$ g/$cm^{3}$