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From a cuboid of dimension 10cm×5cm×2.5cm, small cubes of edge 2.5 cm are cut. How many small cubes are formed from the cuboid?
Question

From a cuboid of dimension 10cm×5cm×2.5cm, small cubes of edge 2.5 cm are cut. How many small cubes are formed from the cuboid?

A.

5

B.

8

C.

4

D.

7

Correct option is B

Given
Dimensions of the cuboid = 10cm×5cm×2.5cm10 cm \times 5 cm \times 2.5 cm​​
Edge length of the small cubes = 2.5 cm

Formula Used
Number of cubes = Volume of CuboidVolume of one Cube\frac{\text{Volume of Cuboid}}{\text{Volume of one Cube}}​​
Volume of cuboid = Length×Breadth×HeightLength \times Breadth \times Height​​
Volume of cube = Edge3Edge^3​​

Solution
Volume of the cuboid = 10×5×2.5=125cm310 \times 5 \times 2.5 = 125 cm^3​​
Volume of one small cube = 2.5×2.5×2.5=15.625cm32.5 \times 2.5 \times 2.5 = 15.625 cm^3​​
Number of cubes formed = 12515.625 \frac{125}{15.625}​​
Number of cubes formed = 8

Final Answer
So the correct answer is (b)

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