Question

12. The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm. The box is
made of 1.5 cm thick wood. How many bricks of size 6 cm x 3 cm x 0.75 cm can be
put in this box?​

Answer 1

Answer:

The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm

And

The box is made of 1.5 cm thick wood.

So,

Internal dimension of box  =  ( 48 - 1.5 - 1.5  = 45 cm ) , ( 36 , -1.5 - 1.5 = 33 cm )  and ( 30 - 1.5 - 1.5 = 27 cm )

So,

Volume of box  = 45 × 33 × 27  = 40095 cm3

Dimension of a brick  = 6 cm length , 3 cm breadth and 0.75 cm  height .

So,

Volume of a brick  =  6 × 3  × 0.75  =  13.5 cm3

And

Let Total number of bricks can be put in this box = x

We can say

Volume of box = x ( Volume of brick )

So,

40095 = x ( 13.50 )

x  = 40095/13.5 =  2970

So,

Total number of bricks can be put in this box = 2970                       

hope it will help you

Answer 2

Answer:

4575 bricks

Step-by-step explanation:

Subtract the thickness from each side and then find the volume of box =46.5×34.5×38.5=61763.625 cubic cm.

Now divide this volume by the volume of bricks

61763.625÷(3×0.75×6)