Question

The external dimensions of an open wooden box are 65 cm 34 cm and 25 cm. If the box is made up of 2 cm thick wood find the capacity of the box and volume of the wood used​

Answer 1

Step-by-step explanation:

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Answer 2

$\sf \Large Solution!!$

We know the external dimensions of the open box. So, we can find the volume of the open box. We can find out the internal dimensions of the open box as we know the external dimensions of the open box and thickness of the wood. So, we will find the internal volume of the open box or the capacity of the box. By subtracting the internal volume of the open box from the external volume of the open box, we will get the volume of the wood used.

External length = 65 cm

External breadth = 34 cm

External height = 25 cm

External volume = 65 cm × 34 cm × 25 cm

External volume = 55250 cm³

Internal length = 65 - (2 × 2) cm

Internal length = 61 cm

Internal breadth = 34 - (2 × 2) cm

Internal breadth = 30 cm

Internal height = 25 - 2 cm = 23 cm

Capacity of the box = 61 cm × 30 cm × 23 cm

→ Capacity of the box = 42090 cm³

Volume of the wood used = 55250 cm³ - 42090 cm³

→ Volume of the wood used = 13160 cm³