Q. 44.5( 12 Votes )

Find the areas of the shaded regions of the 3-D figures given in question number 3.

Answer :

(i)


In the figure we can clearly see that there are 3 shaded squares with 1 sq. unit area


total shaded area = 3×1 sq. units = 3 sq. units


(ii)



Here, we can clearly see that all upper faces of the cubes in the figure are shaded and there are 9 unit cubes in the figure.


area of the shaded region = 9×1 sq. unit = 9 sq units


(iii)



Here, we can see that whole upper face of top layer unit cubes is shaded, that is 4 unit cubes and in bottom layer, we can see that upper face of 12 unit cubes are shaded.


Total shaded area = (4 + 12)× 1 sq. unit = 16 sq. units


(iv)



Here, we can see that upper face of the unit cube in the top layer is shaded and in middle layer 4 unit cubes are shaded and in the bottom layer, 5 unit cubes are shaded.


total shaded area = (1 + 3 + 5)× 1 sq. unit = 8 sq. units


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