Advanced problem solving with further surface area and volume

12 questions

1. Match each measurement to the correct formula.
2. Select the algebraic expression for the volume of this cone.
3. The volume of this cone is the same as the volume of a sphere with a radius of 12 cm. The height, x of the cone is ___ cm.
4. Find the surface area of a cube with a volume of 512 cm².
5. The height, h, of a cone is three times the length of its radius. Find an algebraic expression for the volume of the cone in terms of h.
6. The radius of a cylinder is half of the height of the cylinder. The volume of the cylinder is 1024𝜋 cm³. The surface area of the cylinder, in terms of 𝜋, is ___ cm².
7. Match each measurement to the correct formula.
8. The diagram shows a cuboid juice carton which is partially filled with juice. Laura changes the orientation of the carton. Which statement is true?
9. Calculate the volume of this prism.
10. The diagram shows a cuboid. The length of the base is 2 cm greater than the height. Find an expression for the volume of the cuboid.
11. The diagram shows a cuboid. The length of the base is 2 cm greater than the height. The volume of the cuboid is 90 cm³. The surface area of the cuboid is x is ___ cm².
12. The volume of the cone is 144𝜋 cm³. Its height is twice the length of its radius. The total surface area of the cone, in terms of 𝜋, is ___.

License: OGL