#### Topics

##### Number Systems

##### Number Systems

##### Algebra

##### Polynomials

##### Linear Equations in Two Variables

##### Algebraic Expressions

##### Algebraic Identities

##### Coordinate Geometry

##### Geometry

##### Introduction to Euclid’S Geometry

##### Lines and Angles

##### Triangles

##### Quadrilaterals

- Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles
- Angle Sum Property of a Quadrilateral
- Types of Quadrilaterals
- Theorem: A Diagonal of a Parallelogram Divides It into Two Congruent Triangles.
- Another Condition for a Quadrilateral to Be a Parallelogram
- The Mid-point Theorem
- Theorem: A Diagonal of a Parallelogram Divides It into Two Congruent Triangles.
- Property: The Opposite Sides of a Parallelogram Are of Equal Length.
- Theorem : If Each Pair of Opposite Sides of a Quadrilateral is Equal, Then It is a Parallelogram.
- Property: The Opposite Angles of a Parallelogram Are of Equal Measure.
- Theorem: If in a Quadrilateral, Each Pair of Opposite Angles is Equal, Then It is a Parallelogram.
- Property: The diagonals of a parallelogram bisect each other. (at the point of their intersection)
- Theorem : If the Diagonals of a Quadrilateral Bisect Each Other, Then It is a Parallelogram

##### Area

##### Circles

- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Angle Subtended by a Chord at a Point
- Perpendicular from the Centre to a Chord
- Circles Passing Through One, Two, Three Points
- Equal Chords and Their Distances from the Centre
- Angle Subtended by an Arc of a Circle
- Cyclic Quadrilateral

##### Constructions

##### Mensuration

##### Areas - Heron’S Formula

##### Surface Areas and Volumes

##### Statistics and Probability

##### Statistics

##### Probability

#### formula

- Volume of a Cuboid = l × b × h

#### notes

**Volume of a Cuboid:**

Volume of a Cuboid = Measure of the space occupied by the cuboid.

The area of the plane region occupied by each rectangle × height.

Volume of a Cuboid = base area × height = length × breadth × height.

**Volume of a Cuboid = l × b × h**, where l, b, and h are respectively the length, breadth, and height of the cuboid.

#### Example

Find the height of a cuboid whose volume is 275 cm

^{3 }and the base area is 25 cm^{2}.Volume of a cuboid = Base area × Height

Hence height of the cuboid = `"Volume of cuboid"/"Base area"`

=`275/25`

= 11 cm

Height of the cuboid is 11 cm.

#### Example

A godown is in the form of a cuboid of measures 60 m × 40 m × 30 m. How many cuboidal boxes can be stored in it if the volume of one box is 0.8 m

^{3}?Volume of one box = 0.8 m

^{3}Volume of godown = 60 × 40 × 30 = 72000 m

^{3}Number of boxes that can be stored in the godown = `"Volume of the godown"/"Volume of one box"`

= `(60 xx 40 xx 30)/(0.8)`

= 90,000

Hence the number of cuboidal boxes that can be stored in the godown is 90,000.

If you would like to contribute notes or other learning material, please submit them using the button below.

#### Shaalaa.com | Problems on Mensuration - Part 2

to track your progress

#### Related QuestionsVIEW ALL [34]

Advertisement Remove all ads