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A cuboid of dimensions (6 cm xx 4 cm xx...

A cuboid of dimensions (6 cm `xx` 4 cm `xx` 1 cm) is painted black on both the surfaces of dimensions (4 cm `xx` 1cm), green on the surfaces of dimensions (6 cm `xx` 4 cm) and red on the surfaces of dimen~1ons `(6 cm xx 1 cm)`. Now, the block is divided into various smaller cubes of side 1 cm each. The smaller cubes, so obtained are separated.
How many cubes are there in the group?

A

10

B

15

C

18

D

20

Text Solution

Verified by Experts

The correct Answer is:
D
From the top most row of the figure
Cube in 1st row= 1
Cube in 2nd row = 3
Cube in 3rd row = 6
Cube in 4th row = 10
` therefore `Total number of cubes = 1 + 3+ G+ 10 = 20
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