Question

The capacity of a closed wooden box of thickness 1 cm and of dimensions 32 cm X 20 cm X 17 cm is

• A. 10880 $c{m}^3$
• B. 69 $c{m}^3$
• C. 8100 $c{m}^3$
• D. 8000 $c{m}^3$

Answer 1

The correct option is C 8100 $c{m}^3$

Given outer length = 32 cm
Outer breadth = 20 cm
Outer height = 17 cm
= 10 × 8 × 7 = 560 cm³
Thickness of wooden box, w = 1 cm
Inner length = l – 2w = 32 – 2 = 30 cm
Inner breadth = b – 2w = 20 – 2 = 18 cm
Inner height = h – 2w = 17 – 2 =1 5 cm

Then inner volume=Capacity of closed box= inner( length × breadth × height)

=$30\times 18\times 15=8100c{m}^2$