Question

Find the cube of 819.
A. 549353259
B. 549353258
C. 549353249
D. 549353250

Answer 1

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.