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Question

# In the following figure, represent a volume of 96 cubic units.

A
All groups together
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B
Groups 1 and 4
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C
Groups 1, 2, and 3
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D
Groups 1 and 2
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Solution

## The correct option is C Groups 1, 2, and 3Volume is nothing but space occupied by any object. Let's count the small boxes of 1 cubic meter in each group. In Group 1: Number of boxes along the length = 4 Number of boxes along the breadth = 2. ∴ Number of boxes in the first layer is = 4 x 2 = 8 boxes. There are 4 such layers in group 1. ∴ Total number of boxes in group 1 = 4 x 8 = 32 boxes Each cube box volume = 1 cubic unit ∴ Group 1 volume = 32 x 1 = 32 cubic units The other three groups have the same number of boxes. Thus, they have the same volumes. We require a total volume of 96 cubic units. The volume of group 1 is less than the required volume. The total volume of groups 1 and 2 is still less than that of the service room. Adding the volume of groups 1, 2, and 3 is equal to 96 cubic units. Hence, the volume of groups 1, 2, and 3 together represent the required volume of 96 cubic units.

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