In this chapter, we provide RS Aggarwal Solutions for Class 9 Chapter 13 Volume and Surface Area Maths for English medium students, Which will very helpful for every student in their exams. Students can download the latest RS Aggarwal Solutions for Class 9 Chapter 13 Volume and Surface Area Maths pdf, free RS Aggarwal Solutions Class 9 Chapter 13 Volume and Surface Area Maths book pdf download. Now you will get step by step solution to each question.

## RS Aggarwal Solutions Class 9 Chapter 13 Volume and Surface Area

**RS Aggarwal Solutions Class 9 Chapter 13** **Exercise 13A**

**Question 1:**

(i) length =12cm, breadth = 8 cm and height = 4.5 cm

∴ Volume of cuboid = l x b x h

= (12 x 8 x 4.5) cm^{3}= 432 cm^{3}

∴ Lateral surface area of a cuboid = 2(l + b) x h

= [2(12 + 8) x 4.5] cm^{2}

= (2 x 20 x 4.5) cm^{2} = 180 cm^{2}

∴ Total surface area cuboid = 2(lb +b h+ l h)

= 2(12 x 8 + 8 x 4.5 + 12 x 4.5) cm^{2}

= 2(96 +36 +54) cm^{2}

= (2 x186) cm^{2}

= 372 cm^{2}

(ii) Length 26 m, breadth =14 m and height =6.5 m

∴ Volume of a cuboid = l x b x h

= (26 x 14 x 6.5) m^{3}

= 2366 m^{3}

∴ Lateral surface area of a cuboid =2 (l + b) x h

= [2(26+14) x 6.5] m^{2}

= (2 x 40 x 6.5) m^{2}

= 520 m^{2}

∴ Total surface area = 2(lb+ bh + lh)

= 2(26 x 14+14 x6.5 +26 x6.5)

= 2 (364+91+169) m^{2}

= (2 x 624) m2= 1248 m^{2}.

(iii) Length = 15 m, breadth = 6m and height = 5 dm = 0.5 m

∴ Volume of a cuboid = l x b x h

= (15 x 6 x 0.5) m3=45 m^{3}.

∴ Lateral surface area = 2(l + b) x h

= [2(15 + 6) x 0.5] m^{2}

= (2 x 21×0.5) m2=21 m^{2}

∴ Total surface area =2(lb+ bh + lh)

= 2(15 x 6 +6 x 0.5+ 15 x 0.5) m^{2}

= 2(90+3+7.5) m^{2}

= (2 x 100.5) m^{2}

=201 m^{2}

(iv) Length = 24 m, breadth = 25 cm =0.25 m, height = 6m.

∴ Volume of cuboid = l x b x h

= (24 x 0.25 x 6) m^{3}.

= 36 m^{3}.

∴ Lateral surface area = 2(l + b) x h

= [2(24 +0.25) x 6] m^{2}

= (2 x 24.25 x 6) m^{2}

= 291 m^{2}.

∴ Total surface area =2(lb+ bh + lh)

=2(24 x 0.25+0.25x 6 +24 x 6) m^{2}

= 2(6+1.5+144) m^{2}

= (2 x151.5) m^{2 }

=303 m^{2}.

**Question 2:**

Length of Cistern = 8 m

Breadth of Cistern = 6 m

And Height (depth) of Cistern =2.5 m

∴ Capacity of the Cistern = Volume of cistern

∴ Volume of Cistern = (l x b x h)

= (8 x 6 x2.5) m^{3}

=120 m^{3}

Area of the iron sheet required = Total surface area of the cistem.

∴ Total surface area = 2(lb +bh +lh)

= 2(8 x 6 + 6×2.5+ 2.5×8) m^{2}

= 2(48 + 15 + 20) m^{2}

= (2 x 83) m2=166 m^{2}

**Question 3:**

Length of a room =9m,

Breadth of a room = 8m

And height of room = 6.5 m

∴ Area of 4 walls = Lateral surface area

= 2 (l+ b) x h

= [2 (9+8) x 6.5] m^{2}

= (2 x 17 x 6.5) m^{2}

=221 m^{2}

∴ Area not be whitewashed = (area of 1 door) + (area of 2 windows)

= (2 x 1.5) m^{2} + (2 x 1.5 x 1) m^{2}

= 3m^{2 }+ 3m^{2 }=6m^{2}

∴ Area to be whitewashed = (221-6) m^{2} =215 m^{2}

∴ Cost of whitewashing the walls at the rate of Rs.6.40 per

Square meter = Rs. (6.40 x 215) = Rs. 1376

**Question 4:**

**Question 5:**

**Question 6:**

**Question 7:**

**Question 8:**

**Question 9:**

**Question 10:**

**Question 11:**

**Question 12:**

**Question 13:**

**Question 14:**

**Question 15:**

**Question 16:**

**Question 17:**

**Question 18:**

**Question 19:**

**Question 20:**

**RS Aggarwal Solutions Class 9 Chapter 13** **Exercise 13B**

**Question 1:**

**Question 2:**

**Question 3:**

**Question 4:**

**Question 5:**

**Question 6:**

**Question 7:**

**Question 8:**

**Question 9:**

**Question 10:**

**Question 11:**

**Question 12:**

**Question 13:**

**Question 14:**

**Question 15:**

**Question 16:**

**Question 17:**

**Question 18:**

**RS Aggarwal Solutions Class 9 Chapter 13** **Exercise 13C**

**Question 1:**

**Question 2:**

**Question 3:**

**Question 5:**

**Question 6:**

**Question 7:**

**Question 8:**

**Question 9:**

**Question 10:**

**Question 11:**

**Question 12:**

**Question 13:**

**Question 14:**

**Question 15:**

**Question 16:**

**Question 17:**

**Question 18:**

**RS Aggarwal Solutions Class 9 Chapter 13** **Exercise 13D**

**Question 1:**

**Question 2:**

**Question 3:**

**Question 4:**

**Question 5:**

**Question 6:**

**Question 7:**

**Question 8:**

**Question 9:**

**Question 10:**

**Question 11:**

**Question 12:**

**Question 13:**

**Question 14:**

**Question 15:**

**Question 16:**

**Question 17:**

**Question 18:**

**Question 19:**

**Question 20:**

**Question 21:**

**Question 22:**

**Question 23:**

**All Chapter RS Aggarwal Solutions For Class 9 Maths**

—————————————————————————–**All Subject NCERT Exemplar Problems Solutions For Class 9**

**All Subject NCERT Solutions For Class 9**

*************************************************

I think you got complete solutions for this chapter. If You have any queries regarding this chapter, please comment on the below section our subject teacher will answer you. We tried our best to give complete solutions so you got good marks in your exam.

If these solutions have helped you, you can also share rsaggarwalsolutions.in to your friends.