11. Density of the piece of wood = 3000 g/cm³
12. Density of wooden block = 2 g/cm³. and it will not float in water.
13. Volume of the plastic ball should be 250 mL
14. Mass of the ice cube = 0.162 g
15. Volume of gasoline spilled is equal to 2000 mL
Step-by-step explanation:
11.
Formula:
![Density = (Mass)/(Volume)](https://img.qammunity.org/2021/formulas/chemistry/high-school/3953dmf7c4g6fwccm3x6ifa57kxqzzjq4y.png)
Given:
Mass of wood piece = 7500 g
Volume of wood piece = 2.5 cm³
Therefore,
![Density = (7500\ g)/(2.5\ cm^(3) ) = 3000\ g/cm^(3)](https://img.qammunity.org/2021/formulas/physics/middle-school/dtpqc3ey0hg942u6wkhf40t4p3czrxodky.png)
Density of the piece of wood = 3000 g/cm³
12.
Formula:
![Density = (Mass)/(Volume)](https://img.qammunity.org/2021/formulas/chemistry/high-school/3953dmf7c4g6fwccm3x6ifa57kxqzzjq4y.png)
Given:
Dimensions of wooden block = length × width × height = 5 cm × 4 cm × 2 cm
Mass = 80.0 g
Volume of wooden block =
![L* W* H = 5* 4* 2 = 40 cm^3](https://img.qammunity.org/2021/formulas/physics/middle-school/51fje52nd878ocfju6izwnxm4zh89lddkq.png)
Therefore,
![Density = (80\ g)/(40\ cm^(3) ) = 2\ g/cm^(3)](https://img.qammunity.org/2021/formulas/physics/middle-school/4g1nn87p1250pdqyv7rxbdl9a3oxzra5bm.png)
Density of wooden block = 2 g/cm³.
Density of water is equal to 1 g/cm³
2 g/cm³ > 1 g/cm³
Since density of wooden block is greater than the density of water, the piece of wood will not float in water. It will sink.
13.
Formula:
![Volume= (Mass)/(Density)](https://img.qammunity.org/2021/formulas/physics/middle-school/bx2w8n092dlgbyo5essx6k3qlqumfpynpp.png)
Given:
Mass of the ball = 125 g
Density = 0.5 g/mL
Therefore,
![Volume = (125\ g)/(0.5\ g/mL ) = 250\ mL](https://img.qammunity.org/2021/formulas/physics/middle-school/fta7zpfquf4bufdyirnhiwvtdq9ojpg9cf.png)
Volume = 250 mL
Volume of the plastic ball should be 250 mL
14.
Formula:
![Mass = Density* Volume](https://img.qammunity.org/2021/formulas/chemistry/middle-school/hl5z80xerdwkg0ve6zeji8o55fznb8i4po.png)
Given:
Dimensions of ice cube = length × width × height = 3 cm × 3 cm × 3 cm
Density = 0.006 g/mL
Volume of ice cube =
![L* W* H = 3* 3* 3 = 27\ cm^3](https://img.qammunity.org/2021/formulas/physics/middle-school/vitb7okzom8jhyg1q2ltn1p9vijo5xxg66.png)
Since,
![1\ cm^3 = 1\ mL,\\\\ Volume = 27\ mL](https://img.qammunity.org/2021/formulas/physics/middle-school/tgmaw3unmpbysl4ux51vls5ivbbbik4kfp.png)
Therefore,
![Mass = (0.006\ g/mL)* (27\ mL) = 0.162\ g](https://img.qammunity.org/2021/formulas/physics/middle-school/1jlzcemrkk7peuje7dnma3k6qc1xr3jv27.png)
Mass of the ice cube = 0.162 g.
15.
Formula:
![Volume= (Mass)/(Density)](https://img.qammunity.org/2021/formulas/physics/middle-school/bx2w8n092dlgbyo5essx6k3qlqumfpynpp.png)
Given:
Mass of gasoline = 1330 g
Density = 0.665 g/mL
Therefore,
![Volume = (1330\ g)/(0.665\ g/mL ) = 2000\ mL](https://img.qammunity.org/2021/formulas/physics/middle-school/zrbwbj0p9wmakuav2lrrtw62r4d5ws2hs6.png)
Volume = 2000 mL
Volume of gasoline spilled is equal to 2000 mL