Question

How many cubic centimeter of metal are there in an open metallic box whose external dimensions are 36cm, 25cm and 16cm the metal being 2cm thick throughout? If 1 cubic cm of metal weight 15g find the weight of open box.

Answer 1

Answer:

95040 g

Step-by-step explanation:

Outer length = 36 cm

Outer breadth = 25 cm

Outer height = 16 cm

Thickness = 2 cm

Inner length = 36-(2+2) = 32 cm

Inner breadth = 25 - (2+2) = 21 cm

Inner height = 16 - (2+2) = 12 cm

Volume of metal = Outer volume - inner volume

                           =$(36 \times 25 \times 16 ) -(32 \times 21 \times 12)$

                           =$6336 cm^3$

$1 cm^3 =15 g$

$6336 cm^3 = 6336 \times 15 =95040 g$

Hence the weight of open box is 95040 g