Question

1. a wooden block has a density of 1.4 g/cm³ and a volume of 90 cm³. using your triangle to the right, what is the mass of the wooden block? answer:__ show work: 10. a golf ball has a mass of 55g and when dropped into a graduated cylinder the water rises from 28 ml to 40 ml. what is the volume of the golf ball? answer:__

Explanation:

Step1: Recall density - mass - volume formula

The formula is $D=\frac{M}{V}$, where $D$ is density, $M$ is mass and $V$ is volume. We can re - arrange it to find mass $M = D\times V$.

Step2: Calculate mass of wooden block

Given $D = 1.4\ g/cm^{3}$ and $V=90\ cm^{3}$. Substitute values into the formula: $M=1.4\ g/cm^{3}\times90\ cm^{3}=126\ g$.

Step3: Find volume of golf ball

The volume of the golf ball is equal to the change in volume of water in the graduated cylinder. The change in volume $\Delta V=V_{final}-V_{initial}$. Given $V_{initial} = 28\ mL$ and $V_{final}=40\ mL$. So $\Delta V=40\ mL - 28\ mL=12\ mL$. Since $1\ mL = 1\ cm^{3}$, the volume of the golf ball is $12\ cm^{3}$.

Answer:

1. Mass of wooden block: 126 g
2. Volume of golf ball: 12 cm³