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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 4 — Mastery
A cylinder has a radius of 4 cm and a height of 10 cm. What is the volume of the cylinder? (Use )
160\pi \text{ cm}^{3}
80\pi \text{ cm}^{3}
40\pi \text{ cm}^{3}
100\pi \text{ cm}^{3}
A rectangular prism has a length of 5 m, a width of 3 m, and a height of 4 m. What is the volume of the prism?
60 \text{ m}^{3}
20 \text{ m}^{3}
15 \text{ m}^{3}
12 \text{ m}^{3}
If a cube has a volume of 343 cm³, what is the length of one side of the cube?
7 cm
8 cm
6 cm
5 cm
A sphere has a radius of 3 cm. What is its volume? (Use )
36\pi \text{ cm}^{3}
A cone has a base radius of 2 cm and a height of 5 cm. What is the volume of the cone? (Use )
If an object has a mass of 12 kg and occupies a volume of 4 m³, what is its density?
3 kg/m³
4 kg/m³
6 kg/m³
8 kg/m³
A tank holds 500 liters of water. If the tank is a cylinder with a radius of 5 cm, what is the height of the tank? (Use )
6.37 m
7.5 m
8 m
5 m
A prism has a triangular base with a base of 6 cm and a height of 4 cm, and a height of the prism of 10 cm. What is the volume of the prism?
120 \text{ cm}^{3}
60 \text{ cm}^{3}
40 \text{ cm}^{3}
30 \text{ cm}^{3}
If a solid sphere and a solid cylinder have the same radius of 4 cm and the same height of 10 cm, what is the ratio of their volumes?
2:3
3:2
4:3
1:1
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27\pi \text{ cm}^{3}
12\pi \text{ cm}^{3}
9\pi \text{ cm}^{3}
\frac{10}{3}\pi \text{ cm}^{3}
\frac{8}{3}\pi \text{ cm}^{3}
10\pi \text{ cm}^{3}
5\pi \text{ cm}^{3}
A liquid has a density of 0.8 g/cm³. What is the mass of 500 cm³ of this liquid?
400 g
300 g
500 g
200 g