### Maths Class X Question Bank

Real Numbers
Polynomials
Arithmetic Progression
Triangles
Coordinate Geometry
Introduction to Trigonometry
Applications of Trigonometry
Circles
Construction
Areas related to Circles
Surface Area and Volumes
Statistics
Probability

# IMPORTANT TERMS, DEFINITIONS AND RESULTS

1. Cuboid :

(a) Lateral surface area
(b) Surface area
(c) Volume
(d) Length of diagonal

where l, b, h are length, breadth and thickness of the cuboid.

2. Cube :

(a) Lateral surface area
(b) Surface area
(c) Volume
(d) Length of diagonal

where, l is the edge of the cube.

3. Cylinder :

r = radius, h = height
(a) Area of curved surface
(b) Total surface area
(c) Volume
(d) Curved surface area of hollow cylinder
(e) Total surface area of hollow cylinder

4. Cone :

r = radius, h = height, l = slant height.

(a) Curved surface area
(b) Total surface area
(c) volume

5. Sphere : r = radius

(a) Surface area
(b) volume

6. Hemisphere (solid) : r = radius

(a) Curved surface area
(b) Total surface area
(c) volume

7. Spherical Shell :

(a) Surface area (outer)
(b) Surface area (inner)
(c) volume of the material

8. When a cone is cut by a plane parallel to the base of the cone, then the portion between the plane and the base is called the frustum of the cone.

(a) Slant height of the frustum,
(b) Volume of the frustum of the cone
(c) Lateral surface area of the frustum of the cone
(d) Total surface area of the frustum of the cone = (area of the base) + (area of the top) + (lateral surface area)

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