Q3. How many small cubical boxes with each side 3cm
can fit into a
large cuboidal box with length 45cm,
height 5cm
breadth 12cm and
Sum
Answers
Answer:
100 cubes.
Step-by-step explanation:
The volume of the cuboidal box = l x b x h
= 5 x 12 x 45
= 60 x 45
= 2700 cm ^3.
then, The volume of the small cube = 3 x 3 x 3.
= 27 cm.
then, the no. of cubes can be fitted
= 2700 / 27
= 100 cubes.
please mark me as brainliest.
Hello Reemaamy !
Answer:
100 small Cubical Boxes
Step-by-step explanation:
Given :
Side of small Cubical box = 3 cm.
Length of the Cuboidal box = 45 cm.
Breadth of the Cuboidal box = 12 cm.
Height of the Cuboidal box = 5 cm.
Concept :
If many small objects are placed in a big object, The number of small objects that can fit is the division of the bigger object's volume by the smaller objects'.
Formulae :
Volume of a cube = s³ units³
- Where s is the side of the Cubical box.
Volume of a cuboid = (l × b × h) units³
- Where l is the Length of the Cuboidal box.
- Where b is the Breadth of the Cuboidal box.
- Where h is the Height of the Cuboidal box.
Procedure :
Volume of the Cubical box = (3 cm)³
∴ Volume of the Cubical box = 27 cm³
Volume of the Cuboidal box = 45 cm × 12 cm × 5 cm
⇒ V = 9 × 5 × 3 × 4 × 5 cm³
⇒ V = 27 × (20 × 5) cm³
⇒ V = 2700 cm³
∴ Volume of the Cuboidal box = 2700 cm³
∴ n = 100 Cubical boxes.
Hence 100 small Cubical boxes can fit into the large Cuboidal box.
Thanks !