Maths : Mensuration: Book Back, Exercise, Example Numerical Question with Answers, Solution: Student Activity Questions and Answers

If the length, breadth and height of a cuboid are *l*, *b* and *h* respectively. Then

(i) Total Surface Area = 2 (*lb* + *bh* + *lh* ) *sq.units.*

(ii) Lateral Surface Area = 2 (*l*+*b*)*h* *sq.units*.

If the side of a cube is *a* units, then,

(i) The Total Surface Area = 6*a*2 sq.units

(ii) The Lateral Surface Area = 4*a*2 sq.units

Thinking Corner: Can you get these formulae from the corresponding formula of Cuboid?

Note

The units of length, breadth and height should be same while calculating the volume of a cuboid.

A few important conversions :1 *cm*3 =1 *ml*, 1000 *cm*3=1 *litre*, 1*m*3 =1000 *litres*

THINKING CORNER

Each cuboid given below has the same volume 120 *cm*3. Can you find the missing dimensions?

Activity

Take some square sheets of paper / chart paper of given dimension 18 *cm* Ã— 18 *cm*. Remove the squares of same sizes from each corner of the given square paper and fold up the flaps to make a open cuboidal box. Then tabulate the dimensions of each of the cuboidal boxes made. Also find the volume each time and complete the table. The side measures of corner squares that are to be removed is given in the table below.

Observe the above table and answer the following:

(i) What is the greatest possible volume? Volume: 9Ã—9Ã—9=729 cm3 / 18Ã—18Ã—18=5832 cm3

(ii) What is the side of the square that when removed produces the greatest volume? Side: 9cm / 18cm

Tags : Numerical Problems with Answers, Solution | Mensuration | Maths , 9th Maths : UNIT 7 : Mensuration

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9th Maths : UNIT 7 : Mensuration : Student Activity Questions and Answers | Numerical Problems with Answers, Solution | Mensuration | Maths

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