Grade 10
Grade 11
Surface Area and Volume
Grade
10
Term
3
Foundation Level (Fail → Pass)
Explain how to find the volume of a cylinder using the formula V = πr²h.
Calculate the volume of a cylinder with a radius of 7 cm and a height of 10 cm.
What are the 5 faces that make up a right triangular prism?
Explain how the area of the curved surface of a cylinder is found. What shape does it make when unrolled?
Find the volume of a triangular prism if the area of its triangular face is 20 cm² and its length is 8 cm.
Intermediate Level (Pass → Credit)
6. Create a study guide for finding the surface area of a cylinder, explaining the formulas for open, closed, and hollow cylinders.
7. A cylinder has a diameter of 14 cm and a height of 15 cm. Find its total surface area.
8. The volume of a cylindrical tank is 6160 cm³. If its height is 10 cm, find its radius.
9. Find the total surface area of a right triangular prism whose triangular base has sides 6 cm, 8 cm, and 10 cm, and whose length is 12 cm.
10. A fish tank is a cuboid measuring 30cm by 20cm by 10cm. How many litres of water can it hold? (1 litre = 1000 cm³).
Advanced Level (Credit → Distinction)
11. A rectangular metal sheet 22 cm long and 11 cm wide is rolled to make a cylinder. Find the volume of the cylinder if it is rolled along its length, and also if it is rolled along its width. Which is larger?
12. A solid metal cylinder of height 21 cm and radius 3.5 cm is melted and recast into smaller cylinders of radius 1 cm and height 1 cm. How many small cylinders can be made?
13. A prism with a right-angled triangular cross-section has a volume of 288 cm³. If the lengths of the perpendicular sides of the triangle are 8 cm and x cm, and the length of the prism is 12 cm, find x.
14. The total surface area of a solid wooden prism is 2100 cm². Its cross-section is a right-angled triangle with perpendicular sides of 15 cm and 20 cm. Find the length of the prism.
15. A water tank in the shape of a semi-circular cylinder (a cylinder cut in half lengthwise) is 1m long and has a radius of 0.7m. Find its volume in litres.
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ජාතික විභාග සඳහා අන්තර්ගතයේ නිල බලය ලත් මූලාශ්රය වනුයේ රජය විසින් නිකුත් කරනු ලබන මෙම ප්රකාශනයි.
