Question

a brick - shaped solid has a mass of 120 grams and measures 10 cm long, 7 cm wide, and 3 cm high. what is its density?
1.75 g/centimeter cubed
1.7 g/centimeter cubed
0.57 g/centimeter cubed
0.58 g/centimeter cubed

Explanation:

Step1: Calculate volume of solid

The solid is brick - shaped (rectangular prism), and the volume formula is $V = l\times w\times h$. Given $l = 10$ cm, $w = 7$ cm, $h = 3$ cm. So $V=10\times7\times3 = 210$ $cm^{3}$.

Step2: Calculate density

The density formula is $
ho=\frac{m}{V}$, where $m = 120$ g and $V = 210$ $cm^{3}$. So $
ho=\frac{120}{210}\approx0.57$ g/$cm^{3}$.

Answer:

C. 0.57 g/centimeter cubed