a box without a lid is made of wood which is 3 cm thick its external dimensions are 86 cm × 60 cm × 45 cm. find the capacity of box in cube cm.
Answers
Answer:
first we have to find the volumn
Step-by-step explanation:
86×60×45= 232200
then
86-3=83
60-3=57
45-3=42
83×57×42=198702
232200-198702=33498
Given: Thickness of the box = 3cm
External length = 86 cm
External breadth = 60 cm
External height = 45 cm
To Find:Capacity of the box
Solution:
The capacity of the container does not depend on the outer dimensions. It depends on the internal dimensions.
To find the internal dimensions of the box we have to subtract the thickness from the external dimensions.
Internal length = External length - thickness
= 86 - 3
= 83 cm
Internal breadth = External breadth - thickness
= 60 - 3
= 57 cm
Internal height = External height - thicnkess
= 45 - 3
= 42 cm
Volume of the box = Length x Breadth x Height
= 83 x 57 x 42
= 198702 cm³
Therefore, the capacity of the box is 198702 cm³.