6. Introduction
Area of trapezium: half of the sum of the length
Of parallel sides x perpendicular distance between them.
Area of a rhombus: half the product of its diagonals
{d1xd2}.
Surface area of a solid is the sum of the areas
Of its faces.
7. Surface area of a cube: 61²
Surface area of a cuboid: 2(lb+bh+hl)
Surface area of a cylinder: 2πr(r+h)
VOLUME
Amount of region occupied by a
solid is called its volume.
Volume of a cuboid: lxbxh
Volume of a cube: l3
Volume of a cylinder: πr²h
8. TRAPEZIUM
A trapezium is a quadrilateral whose two sides are parallel.
• ABCD is a trapezium such that AB and CD are its two parallel sides while
AD and BC are its non-parallel sides.
• Each of the two parallel sides of b trapezium is called base of the trapezium.
• The distance between the two bases (parallel sides) is called the height or
altitude of the trapezium.
• Area of trapezium =half of the sum of the length of parallel sides x
perpendicular distance between them. D A C B
9. Cube
A cube is b 3-D figure whose length , breadth and height are
equal. It has six faces and all are squares and identical.
• Surface area of a cube = 6 x (length of the
side)²
• Volume of a cube = (side)³
10. Rhombus
It is a quadrilateral whose all sides
are equal out of which 2 opposite
sides are parallel and none of the
angles are right angles.
• Area of rhombus=½ x d1 x d2,where d1 and d2
are 2 diagonals
11. CUBOID
A cuboid is b 3-D figure which has
six rectangular faces and opposite
faces are identical.
• There are three pairs of identical
faces.
• Surface area= 2x(lb + bh +lh)
• Volume= l x b x h
12. Cylinder
• Cylinder is a 3–D figure which has one curved
surface and two circular faces which are identical.
• Surface area of cylinder= 2πr (r + h)
• Volume of cylinder= πr²h