Question

A wooden box of 1 cm thickness has inner measurements 12 cm long 11cm breath and 13 cm height .the volume of the wood in the box is

Answer 1

Answer:

Volume of wood=1014 cm^3

Given:

Box thickness 1 cm

Inner Lenght 12 cm,Breadth 11 cm and Height 13 cm

To find:

Volume of wood in the box

Solution:-

We know that

Volume=Lenght×Breadth×Height

Inner volume=11 ×12 ×13

=1716 cm^3

Outer volume

Lenght=12+1+1 = 14 cm

Breadth=11+1+1 = 13 cm

Height=13+1+1 = 15 cm

Volume=14×13×15

=2730 cm^3

_________________

Volume of wood=Outer Volume - Inner voulme

=2730 - 1716

=1014 cm^3

Answer 2

Answer:

${\green{\sf{\therefore Volume\:of\:wooden\:box=1014\:cm^{3}}}}$

Step-by-step explanation:

$\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}$

• In the given question information given about a wooden box whose inner dimension is given.

• So, we have to find the volume of wood in wooden box.

$\underline \bold{Given :} \\ \bold{ For \: inner \: cuboid : }\\ \implies inner \: Length = 12 \: cm \\ \implies inner \:Breadth = 11 \: cm \\ \implies inner \: Height = 13 \: cm \\ \\ \bold{For \: full \: cuboid : }\\ \implies \: Length = 12 + 1 + 1= 14 \: cm \\ \implies Breadth = 11 + 1 + 1= 13 \: cm \\ \implies Height = 13 + 1 + 1= 15\: cm \\ \\ \underline \bold {To \: Find : } \\ \implies \: Volume \: of \: wooden \:box = ?$

• According to given question :

$\implies Volume \: of \: inner \: cuboid = l \times b \times h \\ \implies Volume1 = 12 \times 11 \times 13 \\ \bold { \implies \:Volume1 = 1716 \: {cm}^{3} } \\ \\ \implies Volume\: of \: full \: cuboid = l \times b \times h \\ \implies Volume2 = 14\times 13 \times 15 \\ \bold{\implies Volume2= 2730\: {cm}^{3} } \\ \\ \implies Volume \: of \: wooden \: box = Volume2- Volume1 \\ \implies Volume = 2730 - 1716 \\ \bold{\implies Volume = 1014 \: {cm}^{3} }$