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This worksheet covers Volume and Density, which is part of the Area, Surface Area, Volume and Density module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.
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Set 5 — Mastery
A cylinder has a radius of 4 cm and a height of 10 cm. What is its volume? Use the formula .
160\pi \text{ cm}^{3}
80\pi \text{ cm}^{3}
40\pi \text{ cm}^{3}
50\pi \text{ cm}^{3}
A cube has a side length of 3 inches. What is its volume?
9 \text{ in}^{3}
27 \text{ in}^{3}
12 \text{ in}^{3}
18 \text{ in}^{3}
A sphere has a radius of 5 meters. What is its volume? Use the formula .
\frac{500}{3}\pi \text{ m}^{3}
\frac{250}{3}\pi \text{ m}^{3}
125\pi \text{ m}^{3}
100\pi \text{ m}^{3}
A rectangular prism has dimensions 4 cm, 5 cm, and 6 cm. What is its volume?
120 \text{ cm}^{3}
30 \text{ cm}^{3}
60 \text{ cm}^{3}
24 \text{ cm}^{3}
A tank can hold 300 liters of water. If the density of water is 1 kg/L, what is the mass of the water that the tank can hold?
300 kg
150 kg
600 kg
750 kg
A cone has a base radius of 3 cm and a height of 9 cm. What is its volume? Use the formula .
27\pi \text{ cm}^{3}
36\pi \text{ cm}^{3}
9\pi \text{ cm}^{3}
18\pi \text{ cm}^{3}
If a cylindrical tank has a radius of 2 m and a height of 5 m, what is its volume? Use .
20\pi \text{ m}^{3}
10\pi \text{ m}^{3}
15\pi \text{ m}^{3}
25\pi \text{ m}^{3}
A solid cube has a volume of 64 cm³. What is the density of the cube if its mass is 128 grams?
2 g/cm³
1 g/cm³
3 g/cm³
4 g/cm³
A tank with a volume of 500 liters is filled with a liquid of density 0.8 kg/L. What is the mass of the liquid in the tank?
400 kg
500 kg
300 kg
600 kg
A right prism has a triangular base with a height of 4 cm and base of 6 cm. If the height of the prism is 10 cm, what is its volume?
120 \text{ cm}^{3}
80 \text{ cm}^{3}
60 \text{ cm}^{3}
100 \text{ cm}^{3}
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