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Question

A cube with length 2 cm is attached with a cube of length 3 cm. Find the combined volume of both the cubes.

A
35 cubic centimeters
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B
45 cubic centimeters
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C
30 cubic centimeters
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D
37 cubic centimeters
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Solution

The correct option is A 35 cubic centimeters
The total volume of the shape is equal to the sum of volumes of the two cubes.


Volume of a cube
= Length × Width × Height

For a cube: length = width = height

Volume of the cube (with length 2 cm)
= 2 × 2 × 2 = 8 cubic centimeters

Volume of the cube (with length 3 cm)
= 3 × 3 × 3 = 27 cubic centimeters

Total volume = 8 + 27
= 35 cubic centimeters

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