Question

defining density
directions: use the information in each problem to calculate the materials volume and density.
a rectangular block of cheese measures 10 cm by 5 cm by 3 cm and has a mass of 75 grams. what is the density of the cheese?
volume
f: v = l x w x h
s:
e:
density
f: d = m / v
s:
e:
a rectangular bag of sugar has dimensions of 20 cm by 15 cm by 5 cm and a mass of 350 grams. what is the density of the sugar?
volume
f:
s:
e:
density
f:
s:
e:
a bar of soap measures 20 cm by 5 cm by 3 cm and has a mass of 120 grams. what is the density of the soap?
volume
f:
s:
e:
density
f:
s:
e:

Explanation:

Problem 1: Cheese

Step1: Calculate volume

$V = L\times W\times H=10\times5\times3 = 150$ $cm^{3}$

Step2: Calculate density

$D=\frac{M}{V}=\frac{75}{150}=0.5$ $g/cm^{3}$

Step1: Calculate volume

$V = L\times W\times H = 20\times15\times5=1500$ $cm^{3}$

Step2: Calculate density

$D=\frac{M}{V}=\frac{350}{1500}=\frac{7}{30}\approx0.23$ $g/cm^{3}$

Step1: Calculate volume

$V = L\times W\times H=20\times5\times3 = 300$ $cm^{3}$

Step2: Calculate density

$D=\frac{M}{V}=\frac{120}{300}=0.4$ $g/cm^{3}$

Answer:

$0.5$ $g/cm^{3}$

Problem 2: Sugar