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Find the volume in cubic decimeter of each of the cubes whose side is $2 dm 5 cm$ .

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15.625

d m 3

13.421

d m 3

12.786

d m 3

37.786

d m 3

answer is A.

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Detailed Solution

It is given each cube of side 2dm5cm.
The formula for calculating the volume of a cube is given by:

V = a 3

…. (1) Here,

a

is the side of a cube.
The formula for converting the value in cm to decimeter is given by:

1 c m = 110 d m

Convert the side 2 dm 5

cm

into decimeter,

a = 2 d m + 510 d m ⇒ a = 2.5 d m

Computing the volume of a cube by substituting

a = 2.5

into the formula

1

. The volume of cube =

2.5 3 d m 3

⇒

The volume of cube =

15.625 d m 3

Thus, the volume of the cube is

15.625 d m 3

.
Hence option (1) is correct.

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