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
$$\begin{gathered} \Rightarrow 819=3\times 3\times 7\times 13 \\ \Rightarrow (819{)}^3=(3{)}^3\times (3{)}^3\times (7{)}^3\times (13{)}^3 \\ \Rightarrow (819{)}^3=27\times 27\times 343\times 2197 \\ \Rightarrow (819{)}^3=549353259 \end{gathered}$$
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.