Grade 11 Volume and Surface Area Worksheet
This worksheet focuses on calculating the volume and surface area of various 3D geometric shapes, including prisms, cylinders, pyramids, cones, and spheres.
Includes
Standards
Topics
Volume and Surface Area
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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?
144π cm³
288π cm³
432π cm³
864π cm³
8. The surface area of a sphere is 100π cm². What is its radius?
2.5 cm
5 cm
10 cm
25 cm
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.