Answer
$$4.7 \times 10^9
\ m^3. $$
Work Step by Step
First, we have
$$(2460 \ m)(960 \ m)(1970\ m)=4652352000
\ m^3 $$
Now, round this product to two significant digits, which is the accuracy of the least accurate measurement. That is,
$$(2460 \ m)(960 \ m)(1970\ m)=4.7 \times 10^9
\ m^3. $$