A closed rectangular box with outer dimensions 72 cm - 48 cm - 24 externally is made of wood 1-5 cm thick- Find the capacity of the box in liters-

Given that:Thickness of wood =1.5 cm Length of rectangular box #160; l=72 2× 1.5=69 cm Breadth of rectangular box #160; b=48 2× 1.5=45 cm Hei ...

You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Total Surface Area of a Cuboid

A closed rect...

Question

A closed rectangular box with outer dimensions $72 c m \times 48 c m \times 24$ externally is made of wood $1.5 c m$ thick.
Find the capacity of the box in liters.

Open in App

Solution

Given that:

Thickness of wood $= 1.5 c m$

Length of rectangular box $l = 72 - 2 \times 1.5 = 69 c m$

Breadth of rectangular box $b = 48 - 2 \times 1.5 = 45 c m$

Height of rectangular box $h = 24 - 2 \times 1.5 = 23 c m$

Capacity of box $= l . b . h$

$= 69 \times 45 \times 23$

$= 71415 c m^{3} .$

Hence, this is the required answer.

Suggest Corrections

Similar questions

Q. The external dimensions of a closed wooden box are 62 cm, 30 cm and 18 cm. If the box is made of 2-cm-thick wood, find the capacity of the box.

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

Q. Find the volume of wood used to make a closed rectangular box of outer dimensions

60 c m \times 45 c m \times 32 c m

, the thickness of wood being 2.5 cm all around. Also find the capacity of the box.

Q. A closed box is made up of wood which is

1 c m

thick. The outer dimensions of the box is

5 c m \times 4 c m \times 7 c m

. Find the volume of the wood used.

Q. A closed box is made of 2 cm thick wood with dimensions 84 cm × 75 cm × 64 cm. Find the volume of the wood required to make the box.

Join BYJU'S Learning Program

A closed rectangular box with outer dimensions 72 cm×48 cm×24 externally is made of wood 1.5 cm thick. Find the capacity of the box in liters.

Given that:Thickness of wood =1.5 cmLength of rectangular box l=72−2×1.5=69 cmBreadth of rectangular box b=48−2×1.5=45 cmHeight of rectangular box h=24−2×1.5=23 cmCapacity of box =l.b.h=69×45×23=71415 cm3.Hence, this is the required answer.

A closed rectangular box with outer dimensions $72 c m \times 48 c m \times 24$ externally is made of wood $1.5 c m$ thick.
Find the capacity of the box in liters.