Question

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

Answer 1

here it is the answet
Hope its helpful

Answer 2

Volume of wood used is 27000 cm³.

Step-by-step explanation:

Given : A closed box of outer dimensions 60 cm × 45 cm × 32 cm,the thickness of wood being 2.5 cm all around.

To find : The volume of wood ?

Solution :

A closed box of outer dimensions 60 cm × 45 cm × 32 cm.

Volume of the outer dimension is $V=l\times b\times h$

 $V_o=60 \mathrm { cm } \times 45 \mathrm { cm } \times 32 \mathrm { cm }$

$V_o= 86400 \mathrm { cm } ^ { 3 }$

Thickness of the wood = 2.5 cm.

The length became l=60-( 2.5 + 2.5 )=55 cm

The breadth became b=45-( 2.5 + 2.5 )=40 cm

The height became h=32-( 2.5 + 2.5 )=27 cm

Volume of the inner dimension is $V=l\times b\times h$

$V_i=55 c m \times 40 \mathrm { cm } \times 27 \mathrm { cm }$

$V_i= 59400 \mathrm { cm } ^ { 3 }$

Volume of wood used = Outer dimension - Inner dimension

$\text{Volume of wood used}= 86400 \mathrm { cm } ^ { 3 } - 59400 \mathrm { cm } ^ { 3 }$

$\text{Volume of wood used} = 27000 \mathrm { cm } ^ { 3 }$

#Learn more

A closed cubical box of edge 20cm is made up of wood of thickness 2 cm.find the:

[a] volume of wood used to make it.

[b] volume of air trapped in it.

https://brainly.in/question/1118233