# RS Aggarwal Class-9 Volume And Surface Area of Solids ICSE Goyal Brothers

**RS Aggarwal Class-9 Volume** And Surface Area **of Solids** ICSE Goyal Brothers Prakashan Solutions Chapter-19. We provide step by step Solutions of Exercise / lesson-19 **Volume** And Surface Area of Solids for ICSE** Class-9 RS** Aggarwal Mathematics .

Our Solutions contain all type Questions with Exe-19 and Notes on **Volume** And Surface Area **of Solids** to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-9 Mathematics.

**RS Aggarwal Class-9 Volume** And Surface Area **of Solids** ICSE Goyal Brothers Prakashan Chapter-19

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**Notes on Volume of Solids**

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#### Volume Formulas of Solid Figures

Some of the formulas to find out volumes of basic shapes are –

Shapes |
Volume Formula |
Variables |
---|---|---|

Rectangular Solid or Cuboid | V = l × w × h | l = Length,
w = Width, h = Height |

Cube | V = a^{3} |
a = length of edge or side |

Cylinder | V = πr^{2}h |
r = radius of the circular edge,
h = height |

Prism | V = B × h | B = area of base, (B = side^{2} or length.breadth)
h = height |

Sphere | V = (4⁄3)πr^{3} |
r = radius of the sphere |

Pyramid | V = (1⁄3) × B × h | B = area of the base,
h = height of the pyramid |

Right Circular Cone | V = (1⁄3)πr^{2}h |
r = radius of the circular base,
h = height (base to tip) |

**Exercise 19 , RS Aggarwal Class-9 Volume** And Surface Area of Solids ICSE Goyal Brothers Prakashan

Question-1

Find the volume and total surface area and the lateral surface area of a rectangular solid having :

(i) Length =8.5 m, breadth = 6.4 m and height = 50 cm.

(ii) Length =5.6 dm, breadth = 2.5 dm and height = 1 m.

Answer-1

(i) Length =8.5 m, breadth = 6.4 m and height = 50 cm = 0.5 m

(a) Volume = l x b x h

= 8.5 m, x 6.4 m x 0.5 m

= 27.2 m³

Now perimeter of cross section of the tunnel

= 8 + 2.6 + 2.6 + 6

= 19.2 m

length = 40 m

internal surface area of of the tunnel excluding floor

=19.2 x 40 -40 x 8

= 768 – 320

=448 m²

Rate of painting = 5 Rs / m2

So Total cost of painting

= 5 x 448

= Rs 2240 ans

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