A wooden box ( including the lid ) has external dimensions of 40 cm by 34 cm by 30 cm. if the wood is 1 cm thick, how many $c m^{3}$ of wood are there in it?

Open in App

Solution

The volume of wood present in it is given by
External volume $-$ Internal volume
Here,
External dimensions are ,L=40 cm,B=34 cm and H=30 cm
Hence, internal dimensions are,L $= 40 - 2 \times 1 = 40 - 2 = 38 c m$
B $= 34 - 2 \times 1 = 34 - 2 = 32 c m$
H $= 30 - 2 \times 1 = 30 - 2 = 28 c m$
Now, external volume $= (40 \times 34 \times 30) c m^{3} = 40800 c m^{3}$
And internal volume $= (38 \times 32 \times 28) c m^{3} = 34048 c m^{3}$
Hence , volume of wood present in it $= (40800 - 34048) c m^{3} = 6752 c m^{3}$

Suggest Corrections

Similar questions

Q. A wooden box (including the lid) has external dimensions

40 c m \times 34 c m \times 30 c m

. If the wood is 1 cm thick, how many

c m^{3}

of wood is used in it?

Question 98

A wooden box (including the lid) has external dimensions $40 c m \times 34 c m \times 30 c m$ . If the wood is 1 cm thick, how many $c m^{3}$ of wood is used in it?

Question 98

A wooden box (including the lid) has external dimensions $40 c m \times 34 c m \times 30 c m$ . If the wood is 1 cm thick, how many $c m^{3}$ of wood is used in it?

Q. The external dimensions of a closed wooden box are 27 cm, 19 cm and 11 cm. If the thickness of the wood in the box is 1.5 cm; find the cost of the box, if wood costs 1.20 per

c m^{3};

Q. The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm. The box is made of 1.5 cm thick wood. How many bricks of size 6 cm × 3 cm × 0.75 cm can be put in this box?

Join BYJU'S Learning Program

A wooden box ( including the lid ) has external dimensions of 40 cm by 34 cm by 30 cm. if the wood is 1 cm thick, how many cm3 of wood are there in it?

A wooden box ( including the lid ) has external dimensions of 40 cm by 34 cm by 30 cm. if the wood is 1 cm thick, how many $c m^{3}$ of wood are there in it?