Q1.A
cuboid is of dimensions 60 cm x 54 cm x 30 cm. How many small cubes with side 6 cm can be placed in the given coboid
Answers
Explanation:
✬ Cubes = 450 ✬
Step-by-step explanation:
Given:
Dimensions of cuboid are 60 cm × 54 cm × 30 cm.
Measure of side of small cube is 6 cm.
To Find:
How many small cubes can be placed in cuboid ?
Solution: Let x cubes can be placed in the cuboid.
Now to find the value of x , all we need to do is - Divide the volume of cuboid by the volume of cube.
★ Volume of Cuboid = l × b × h ★
l = Length
b = Breadth
h = Height
A/q
l = 60 cm , b = 54 cm , h = 30 cm
\implies{\rm }⟹ ( 60 × 54 × 30 ) cm³
\implies{\rm }⟹ 97200 cm³
So the volume of cuboid is 97200 cm³.
★ Volume of Cube = Side³ ★
⟹ ( 6cm )³
⟹ 216 cm³
So the volume of cube is 216 cm³
∴ x = Vol. Cuboid/Vol. cube
➟ x = 97200/216
➟ x = 450 cubes
Hence, 450 small cubes with side 6 cm can be placed in the cuboid.
Answer:
volume of cuboid = 60×54×30
=97200 sq. cm
volume of cube = 6×6×6
= 216
no. of cubes = 97200÷216
=450