Question

a closed wooden box 80 CM long 65 cm wide and 45 CM high, made of 2.5 cm thick wood. Find the capacity of the box and it's weight if 100 cubic of wood weight 8 grams​

Answer 1

$\large\underline\pink{Given:-}$

• A closed wooden box 80 CM long 65 cm wide and 45 CM high, made of 2.5 cm thick wood.

$\large\underline\pink{To find:-}$

• Find the capacity of the box and it's weight if 100 cubic of wood weight 8 grams. ....?

$\large\underline\pink{Solutions:-}$

• External length = 80cm
• External width = 65cm
• External height = 45cm

External volume of the box = l × w × h

= 80 × 65 × 45

= 234000cm³

Thickness of the wood = 2.5cm

Then,

• Internal length = 80 × (2.5 × 2) = 75cm
• Internal width = 65 × (2.5 × 2) = 60cm
• Internal height = 45 × (2.5 × 2) = 40cm

Capacity of the box = internal volume of the box

= l × w × h

= 75 × 60 × 40

180000cm³

Volume of the wood = External volume - Internal volume

= 234000 - 180000 cm³

= 54000cm³

given that,

100 cm³ of wood weight 8g.

weight of the wood

= 54000/100 × 8 g

= 54 × 8 g

= 4320 g.

Hence, the weight of the wood is 4320 g