Question

The external dimensions of a wooden box are 18 cm, 19 cm and 6 cm and thickness of
wood is 5mm. Find the volume of wood.​

Answer 1

Answer:

External dimensions are : A = 18cm, B = 10 cm,  C = 6cm

thickness: T = 5mm = 0.5 cm

Each side of the box it is 0.5 cm thick. The hollow portion inside has a length       A'" = A - 2 * thickness , as along a dimension of a box we have two surfaces having thickness 0.5 cm.

The hollow box (empty space inside box) has size : A" = 18 - 2 * 0.5cm = 17cm

  B" = 10 - 2 * 0.5 = 9cm  and C" = 5cm

External volume of box = V = A B C = 1080 cm³

Internal hollow part of box = W = A" B" C" = 17*9*5 cm³

Actual volume of wood in box = V - W = 315 cm³

Weight per 1 cubic cm of wood = 3.15 / 315 = 0.01 kg/cm³

Step-by-step explanation:

$Hope \: it \: helps.$

Answer 2

Answer:

External dimensions are : A = 18cm, B = 10 cm, C = 6cm

thickness: T = 5mm = 0.5 cm

Each side of the box it is 0.5 cm thick. The hollow portion inside has a length A'" = A - 2 * thickness , as along a dimension of a box we have two surfaces having thickness 0.5 cm.

The hollow box (empty space inside box) has size : A" = 18 - 2 * 0.5cm = 17cm

B" = 10 - 2 * 0.5 = 9cm and C" = 5cm

External volume of box = V = A B C = 1080 cm³

Internal hollow part of box = W = A" B" C" = 17*9*5 cm³

Actual volume of wood in box = V - W = 315 cm³

Weight per 1 cubic cm of wood = 3.15 / 315 = 0.01 kg/cm³