#### Topics

##### Number Systems

##### Number Systems

##### Algebra

##### Polynomials

##### Linear Equations in Two Variables

##### Coordinate Geometry

##### Geometry

##### Coordinate Geometry

##### Mensuration

##### Introduction to Euclid’S Geometry

##### Lines and Angles

- Introduction to Lines and Angles
- Basic Terms and Definitions
- Intersecting Lines and Non-intersecting Lines
- Parallel Lines
- Pairs of Angles
- Parallel Lines and a Transversal
- Lines Parallel to the Same Line
- Angle Sum Property of a Triangle

##### Statistics and Probability

##### 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
- Another Condition for a Quadrilateral to Be a Parallelogram
- Theorem of Midpoints of Two Sides of a Triangle
- Property: The Opposite Sides of a Parallelogram Are of Equal Length.
- Theorem: A Diagonal of a Parallelogram Divides It into Two Congruent Triangles.
- 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

##### 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

##### Areas - Heron’S Formula

##### Surface Areas and Volumes

##### Statistics

##### Algebraic Expressions

##### Algebraic Identities

##### Area

##### Constructions

- Introduction of Constructions
- Basic Constructions
- Some Constructions of Triangles

##### 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