Question

A closed wooden box 80 cm long 65 cm wide and 45 cm high is made up of wood 2.5 cm thick find the capacity of the box and the weight of the box if 100 cm cube of wood weighs 8 grams.

Answer 1

Inner length of the box = 80cm - 2.5cm = 77.5cm.
Inner breadth of the box = 65cm - 2.5cm = 62.5cm.
Inner height of the box = 45cm - 2.5cm = 42.5cm.
capacity of the box = inner length × inner breadth × inner height.
77.5cm × 62.5cm × 42.5cm = 205,859.375cm^3
outer volume of the box = l×b×h = 80cm × 65cm × 45cm = 234,000cm cube.
volume of wood = outer volume of the box - Inner volume of the box.
= 234,000 cm cube - 205,859.375 cm cube = 28,140.625cm cube.
If 100 cm cube weighs 8 grams.
then 1 cm cube weighs 8/100 grams.
then 28,140.625cm cube weighs 8/100×28,140.625 grams = 2,251.25 grams. Ans

Answer 2

Answer:

Inner length of the box = 80cm - 2.5cm = 77.5cm.

Inner breadth of the box = 65cm - 2.5cm = 62.5cm.

Inner height of the box = 45cm - 2.5cm = 42.5cm.

capacity of the box = inner length × inner breadth × inner height.

77.5cm × 62.5cm × 42.5cm = 205,859.375cm^3

outer volume of the box = l×b×h = 80cm × 65cm × 45cm = 234,000cm cube.

volume of wood = outer volume of the box - Inner volume of the box.

= 234,000 cm cube - 205,859.375 cm cube = 28,140.625cm cube.

If 100 cm cube weighs 8 grams.

then 1 cm cube weighs 8/100 grams.

then 28,140.625cm cube weighs 8/100×28,140.625 grams = 2,251.25 grams.