Question

find the volume of wood used to make a close box of outer dimensions 60cm × 45cm × 32cm , the thickness of wood being 2.5 cm all around.

Answer 1

Answer:

The volume of wood used to make a box is $27000 cm^3$

To find:

Wood’s volume which is used to make the close box

Solution:

Volume of the outer dimension  

$= 60 \mathrm { cm } \times 45 \mathrm { cm } \times 32 \mathrm { cm } = 86400 \mathrm { cm } ^ { 3 }$

Thickness of the wood = 2.5 cm.

Volume of the inner dimension  

$\begin{array} { c } { = ( 60 - ( 2.5 + 2.5 ) ) c m \times ( 45 - ( 2.5 + 2.5 ) ) c m \times ( 32 - ( 2.5 + 2.5 ) ) c m } \\\\ { = ( 60 - 5 ) c m \times ( 45 - 5 ) c m \times ( 32 - 5 ) c m } \\\\ { = 55 c m \times 40 \mathrm { cm } \times 27 \mathrm { cm } } \\\\ { = 59400 \mathrm { cm } ^ { 3 } } \end{array}$

Hence, volume of wood used = Outer dimension - Inner dimension

$= 86400 \mathrm { cm } ^ { 3 } - 59400 \mathrm { cm } ^ { 3 } = 27000 \mathrm { cm } ^ { 3 }$

Answer 2

Answer:

Step-by-step explanation:

Outer volume=60×45×32=864000cm^3

Inner volume=55×40×27=594000cm^3

Vol. Of wood used=864000-594000=27000