Problem 35
A piece of black onyx was cut into a rectangular solid measuring \(5.00 \mathrm{~cm}\) by \(5.00 \mathrm{~cm}\) by \(2.50 \mathrm{~mm}\). What is the volume in cubic centimeters?
Problem 36
A piece of green jade was cut into a rectangular solid measuring \(2.50 \mathrm{~cm}\) by \(1.25 \mathrm{~cm}\) by \(3.50 \mathrm{~mm}\). What is the volume in cubic centimeters?
Problem 37
A brass rectangular solid measures \(4.95 \mathrm{~cm}\) by \(2.45 \mathrm{~cm} .\) What is the thickness of the brass solid if the volume is \(10.0 \mathrm{~cm}^{3} ?\)
Problem 38
A rectangular sheet of aluminum foil measures \(75.0 \mathrm{~cm}\) by \(35.0 \mathrm{~cm}\). What is the thickness of the foil if the volume is \(5.00 \mathrm{~cm}^{3} ?\)
Problem 39
Complete the following volume equivalents: (a) \(1 \mathrm{~L}=? \mathrm{~mL}\) (b) \(1 \mathrm{~L}=? \mathrm{~cm}^{3}\)
Problem 40
Complete the following volume equivalents: (a) \(1 \mathrm{~mL}=? \mathrm{~cm}^{3}\) (b) \(1 \mathrm{in}^{3}=? \mathrm{~cm}^{3}\)
Problem 41
A motorcycle engine is 0.750L. Express the volume in cubic inches.
Problem 42
An automobile engine is \(355-\mathrm{in} .^{3}\). Express the volume in liters.
Problem 43
The initial water level in a \(10-\mathrm{mL}\) graduated cylinder reads \(4.5 \mathrm{~mL}\). After a ruby gemstone is dropped into the cylinder, the water level reads \(7.0 \mathrm{~mL}\). What is the volume of the ruby?
Problem 44
The initial water level in a 10-mL graduated cylinder is \(5.0 \mathrm{~mL}\). After a sapphire gemstone is added into the cylinder, the water level is \(6.5 \mathrm{~mL}\). What is the volume of the sapphire?