Question Paper
Class / Subject: Class 10 (CBSE) · Mathematics
Chapter: Chapter 12 — Chapter 12: Surface Areas and Volumes
Time Allowed: 15 minutes
Max Marks: 6
1. For a combined solid, we add the: [1]
(A) curved surface areas of exposed parts
(B) total surface areas of both parts, including joined surfaces
(C) only the volumes
(D) only the base areas
2. In a hemisphere-on-cylinder solid, which surface is EXCLUDED from the total surface area? [1]
(A) The flat circle where they join
(B) The cylinder's curved surface
(C) The cylinder's bottom base
(D) The hemisphere's curved surface
3. Find the surface area of a solid formed by a hemisphere on top of a cylinder requires: [1]
(A) adding curved surfaces and the cylinder's base, excluding the joined circle
(B) adding all surfaces of both shapes fully
(C) only calculating the hemisphere's surface
(D) only calculating the cylinder's surface
4. When a solid is melted and recast into another shape, the: [1]
(A) volume remains the same
(B) surface area remains the same
(C) both volume and surface area remain the same
(D) neither remains the same
5. The volume of a combined solid is found by: [1]
(A) adding the volumes of its individual parts
(B) subtracting the smaller volume from the larger
(C) multiplying the volumes together
(D) averaging the volumes
6. A metallic sphere is melted and recast into a cylinder. To find the cylinder's height, we set: [1]
(A) sphere's volume = cylinder's volume
(B) sphere's surface area = cylinder's surface area
(C) sphere's radius = cylinder's height
(D) sphere's radius = cylinder's radius always