Question

2. Dimensions of a cuboid are 4 cm, 6 cm and 3 cm :
(a) Find its volume.
(b) If each of these dimensions be doubled, then what will be the volume of the new cuboid?
(c) what is the ratio of the second volume to the first volume?​

Answer 1

᯽Given :

➙ Dimensions of cuboid are 4cm , 6cm and 3cm .

᯽Solution :

• a. Find its volume .

➙ $\mathtt\red{volume = length \times breath \times height }$

• 4 × 6 × 3

• 72 cm³

• b. if each of these dimensions be doubled , then what will be the volume of the new cuboid ?

° New dimensions =

➙$\mathtt\red{ Length = 6 × 2 = 12cm }$

➙$\mathtt\red{ Breath = 4 × 2 = 8cm }$

➙$\mathtt\red{ Height = 3 × 2 = 6cm }$

➙ $\mathtt\red{volume = length \times breath \times height }$

• 12 × 8 × 6

• 576 cm³

c. what is the ratio of the second volume to the first volume .

• Second volume : first volume .

➙ 576 : 72

➙ 288 : 36

➙ 72 : 9

➙ 8 : 1