A box in the shape of a cuboid has dimensions 30 cm x 27 cm x 15 cm. How many small cubes with side 3 cm can be placed in the given cuboid?
Answers
Answer:
Volume of cuboid 60×54×30=97200cm
3
Volume of cube of side 6
3
cm
3
=216cm
3
Number of cubes =
216
97200
=450
Step-by-step explanation:
Hope its helpful
Given:
The dimensions of cuboidal box are 30 cm × 27 cm × 15 cm.
The side of a small cube is 3 cm.
To find:
To find the number of small cubes that fit inside the cuboidal box.
Solution:
The Length of cuboidal box = 30 cm
The breadth of cuboidal box = 27 cm
The height of cuboidal box = 15 cm
The formula for the volume of a cuboid = (Length × Breadth × Height) cubic units
The volume of the cuboidal box = (30 × 27 × 15) cm³
= 12,150 cm³
Side of the small cube = 3 cm
The volume of a cube = (Side)³ cubic units
The volume of the cube = (3)³ cm³
= 27 cm³
The number of cubes that fit inside the cuboidal box= volume of the cuboidal box/ volume of a cube
= 12,150/ 27
= 450
A total of 450 cubes can fit inside the cuboidal box.