Question

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 × 3 cm×0.75 cm can be put in this box?

Answer 1

Answer:

Step-by-step explanation:

first find the volume of bricks

volume of cuobid = length * height * breth

=6*3*0.75

=13.6

now volume of that wooden box

the box is 1.5 cm thick

∴ 1.5cm will get reduce

∴ 48-1.5=46.5

  36-1.5=34.5

  30-1.5=28.5

valume of wooden box

=46.5*34.5*28.5

=45721.125

now no of bricks =volume of box / volume of 1 birck

=45721.125/13.6

=3,361.85

that means 3361 bricks can be fit in the wooden box

Answer 2

2970 bricks of size 6 cm × 3 cm×0.75 cm can be put in this box.

Step-by-step explanation:

• Given data about wooden box

        Thickness of box (t) =1.5 cm

        External length = 48 cm

        External breadth = 36 cm

        External height = 30 cm

• Now we calculate internal dimension of wooden box

        Internal length = 48 - 2×1.5 =48 - 3 =45 cm

        Internal breadth = 36 - 2×1.5 =36 - 3 =33 cm

        Internal height = 30 - 2×1.5 =30 - 3 =27 cm

• Now calculate interior volume of wooden box

        Interior volume of wooden box = Length ×breadth ×height

        Interior volume of wooden box = 45 ×33 ×27

• Now calculate volume of one brick

        Volume of one brick = Length ×breadth ×height

        Volume of one brick = 6 ×3 ×0.75

• Now calculate number of bricks

        $\mathbf{\textrm{Number of bricks}=\frac{\textrm{Interior volume of wooden box}}{\textrm{Volume of one brick}}}$

        $\mathbf{\textrm{Number of bricks}=\frac{45\times 33\times 27}{6\times 3\times 0.75}}$

        On solving above, we get

       Number of bricks =2970