Volume & Surface Area Quiz

1. What is the volume of a cuboid with length 5 cm, width 4 cm and height 3 cm?

• A. 12 cm³
• B. 60 cm³
• C. 70 cm³
• D. 35 cm³

2. Which formula gives the surface area of a cylinder with radius $r$ and height $h$?

• A. $\pi r^2 h$
• B. $2\pi r^2 + 2\pi r h$
• C. $\frac{4}{3}\pi r^3$
• D. $\pi r l$

3. A cone has base radius 6 cm and vertical height 8 cm. What is its slant height?

• A. 10 cm
• B. 14 cm
• C. 48 cm
• D. 7 cm

4. What is the volume of a sphere with radius 3 cm, in terms of $\pi$?

• A. $12\pi \text{ cm}^3$
• B. $36\pi \text{ cm}^3$
• C. $27\pi \text{ cm}^3$
• D. $9\pi \text{ cm}^3$

5. A solid is made of a cylinder (radius 5 cm, height 12 cm) with a hemisphere (radius 5 cm) fixed on top. Which statement about calculating its total surface area is correct?

• A. Add the full sphere surface area to the full cylinder surface area
• B. Include both circular ends of the cylinder plus the hemisphere's curved surface
• C. Exclude the cylinder's top circular face and the hemisphere's flat circular face, since that join is internal
• D. Only calculate the volume, as surface area cannot be found for composite solids