Page 175 - Math Skill - 5

Perimeter, Area and Volume 173

Required number of boxes Absorbing Facts

= Volume of carton Volume vs. Capacity
Volume of each box Volume is referred to solid/filled 3-D object.
Capacity is referred to hollow 3-D object.
9 10
100 × 72 × 50
= = 900
10 × 8 × 5
1 1 Volume Capacity
Hence, 900 boxes can be packed. (Filled) (Empty)

Exercise 13.4

1. Find the volume of cuboids with the following dimensions:

(a) length = 18 cm, breadth = 12 cm, height = 7 cm
(b) length = 12.5 cm, breadth = 10 cm, height = 5 cm
(c) length = 4.8 m, breadth = 3.2 m, height = 1 m

(d) length = 28 cm, breadth = 15 cm, height = 10 cm
2. Find the volume of the cube whose side is:

1
(a) 42 cm (b) 13 cm (c) 6 m 50 cm (d) 8.5 cm
2
3. Find the volume of a cuboidal box with length 16 cm, breadth 11.5 cm and height 5 cm.

4. A room is 12 m long, 7.5 m broad and 6 m high. How much air does it contain?

5. How many boxes each of size 12 cm × 8 cm × 6 cm can be packed in a larger box of
size 60 cm × 48 cm × 36 cm?
6. How many bricks each 25 cm long, 16 cm wide and 7.5 cm thick will be needed to build a
wall 5 m long, 3 m broad and 80 cm high?

ASSESSMENT TIME

COMPETENCY BASED QUESTIONS

A. Multiple-Choice Questions
1. The area of a rectangle 8 cm by 4 cm is

(a) 32 cm (b) 32 cm (c) 24 cm
2
2. The perimeter of a square is 40 cm. Its one side is
(a) 10 cm (b) 20 cm (c) 1600 cm
2
3. Perimeter of a square of side 12 cm is
(a) 40 cm (b) 144 cm (c) 48 cm
2