Answer
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Hint: Here we need to find the cube of a given number by splitting it into multiples of smaller numbers.
Complete step-by-step answer:
As you know 819 is the multiple of
$
\Rightarrow 819 = 3 \times 3 \times 7 \times 13 \\
\Rightarrow {(819)^3} = {(3)^3} \times {(3)^3} \times {(7)^3} \times {(13)^3} \\
\Rightarrow {(819)^3} = 27 \times 27 \times 343 \times 2197 \\
\Rightarrow {(819)^3} = 549353259 \\
$
Therefore, Correct answer is option A.
Note: In this type of question always convert the higher number into multiple of smaller number, then multiply, it will help you find the cube of higher number.
Complete step-by-step answer:
As you know 819 is the multiple of
$
\Rightarrow 819 = 3 \times 3 \times 7 \times 13 \\
\Rightarrow {(819)^3} = {(3)^3} \times {(3)^3} \times {(7)^3} \times {(13)^3} \\
\Rightarrow {(819)^3} = 27 \times 27 \times 343 \times 2197 \\
\Rightarrow {(819)^3} = 549353259 \\
$
Therefore, Correct answer is option A.
Note: In this type of question always convert the higher number into multiple of smaller number, then multiply, it will help you find the cube of higher number.
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