Question

1. the diagram below represents a solid object with a density of 3 grams per cubic centimeter. what is the mass of this object? (1) 0.5 g (2) 2 g (3) 18 g (4) 36 g (not drawn to scale)

Explanation:

Step1: Calculate volume of object

The object is a rectangular - prism. The volume formula for a rectangular - prism is $V = l\times w\times h$. Here, $l = 3$ cm, $w = 2$ cm, and $h = 1$ cm. So, $V=3\times2\times1 = 6$ $cm^{3}$.

Step2: Use density - mass - volume relationship

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume. We know $
ho = 3$ g/$cm^{3}$ and $V = 6$ $cm^{3}$. Rearranging the formula for $m$ gives $m=
ho\times V$. Substituting the values, we get $m = 3\times6=18$ g.

Answer:

(3) 18 g