# A Closed Box Measures 66 Cm, 36 Cm and 21 Cm from Outside. If Its Walls Are Made of Metal-sheet, 0.5 Cm Thick; Find : (I) the Capacity of the Box ; (Ii) the Volume of Metal-sheet - Mathematics

Sum

A closed box measures 66 cm, 36 cm and 21 cm from outside. If its walls are made of metal-sheet, 0.5 cm thick; find :
(i) the capacity of the box ;
(ii) the volume of metal-sheet and
(iii) weight of the box, if 1 cm3 of metal weighs 3.6 gm.

#### Solution

External length of the closed box = 66cm.

External breadth of the closed box = 36 cm

External height of the closed box =21 cm

External volume of the closed box= 66 x 36 x 21 = 49896 cm3

Internal length of the box =(66 – 2 x 0.5) = 66 – 1 = 65 cm

Internal breadth of the box =(36 – 2 x 0.5) = 36 – 1 = 35 cm

Internal height of the box = (21 – 2 x 0.5) = 21 – 1 = 20 cm

Internal Volume of the box = 65 x 35 x 20 = 45500 cm3

(i) Capacity of the box = 45500 cm3
(ii) Volume of metal sheet of the box = External volume – Internal volume
= 49896 – 45500 = 4396 cm3
(iii) 1 cm3 of metal weigh 3.6 grams.
Weight of the box = 4396 x 3.6 gm = 15825.6 gm

Concept: Surface Area of a Cuboid
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 21 Surface Area, Volume and Capacity
Exercise 21 (B) | Q 7 | Page 241