Grade 9 Volume and Surface Area Worksheet
This worksheet focuses on calculating volume and surface area of various 3D shapes, including prisms, cylinders, and pyramids, for Grade 9 students.
Includes
Standards
Topics
Volume and Surface Area Review
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 10 cm. Calculate its volume and surface area.
Volume:
Surface Area:
2. A cylinder has a radius of 3 cm and a height of 7 cm. Calculate its volume and surface area. (Use π ≈ 3.14)
Volume:
Surface Area:
3. The volume of a pyramid is given by the formula V = , where B is the area of the base and h is the of the pyramid.
4. The surface area of a pyramid is the sum of the area of its base and the areas of all its faces.
5. A cone has a radius of 4 cm and a slant height of 5 cm. What is its lateral surface area? (Use π ≈ 3.14)
20π cm²
62.8 cm²
40π cm²
78.5 cm²
6. A sphere has a diameter of 12 inches. Calculate its volume and surface area. (Use π ≈ 3.14)
7. Doubling the radius of a cylinder will double its volume.
True
False
8. The surface area of a cube with side length 's' is 6s².
True
False
9. A storage shed is in the shape of a rectangular prism with a pyramid on top. The prism has dimensions 6m x 4m x 3m (length x width x height). The pyramid has the same base as the prism and a height of 2m. Calculate the total volume of the shed.