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If the length of the edge of the cube is 8dm and 5cm, then the volume of the cube is ____

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Detailed Solution

If the length of the edge of the cube is 8dm and 5cm, then the volume of the cube is

614125 c m 3

.
Given that the length of the edge of the cube,

a = 8 dm 5 cm

.
Convert the given length of the cube in cm.
Length of the edge of the cube,

a = 8 × 10 c m + 5 c m

a = 80 c m + 5 c m

a = 85 c m

We know that the volume of cube,

V = a 3

.
Substituting the value of

a = 85 c m

in above formula and simplifying it,

V = (85 c m) 3

V = 614125 c m 3

Therefore, if the length of the edge of the cube is 8dm 5cm, then the volume of the cube is

614125 c m 3

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