Grade 11 Volume and Surface Area Worksheet

Volume and Surface Area

Read each question carefully and show all your work. Round your answers to two decimal places where necessary.

1. A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 10 cm. Calculate its volume.

2. A cylindrical can has a radius of 4 cm and a height of 12 cm. Find its volume.

3. Calculate the total surface area of the rectangular prism described in question 1.

4. Determine the total surface area of the cylindrical can from question 2.

5. The volume of a pyramid is given by the formula V = (1/3) * Base Area *  . If a square pyramid has a base side length of 6 cm and a height of 10 cm, its volume is   cm³.

6. The lateral surface area of a cone is calculated using the formula A = π * r *  . A cone with a radius of 3 cm and a slant height of 5 cm has a total surface area of   cm².

7. What is the volume of a sphere with a radius of 6 cm?

8. The surface area of a sphere is 100π cm². What is its radius?

9. A solid is composed of a cylinder with a radius of 3 cm and a height of 8 cm, topped by a hemisphere of the same radius. Calculate the total volume of the solid.