A cuboid of dimension 60cm ×54cm×30cm. How many small cubes with 6cm can be placed in the given cuboid ?

# A cuboid of dimension 60cm ×54cm×30cm. How many small cubes with 6cm can be placed in the given cuboid ?

1. A
440
2. B
400
3. C
450
4. D
None of these

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

From the question, we have                                      Length (l) = 60cm
Height (h) = 30cm
As we know that,
Volume of cuboid = (l$×$b$×$h) = ($60×54×30$) = 97200 cm3
Volume of cube = (side)3= (6)3 = 216 cm3
Number of small cubes = $\frac{\mathit{Volume of Cuboid}}{\mathit{Volume of Cube}}$  = $\frac{97200}{216}$ = 450
Hence, 450 small cubes can be placed in the given cuboid.

## Related content

 Area of Square Area of Isosceles Triangle Pythagoras Theorem Triangle Formula Perimeter of Triangle Formula Area Formulae Volume of Cone Formula Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics  +91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)