Answer:
Volume of the lake = 6.44 × 10¹¹ Litres
Step-by-step explanation:
First, let us unify the units of measurement in the problem by converting the depth from feet to miles
1 mile = 5280 feet
1 foot = 1/5280 miles
∴ 51.0 Feet = 51.0 × (1/5280) miles
= 0.009659 miles
Next, let us calculate the volume of the lake.
Volume = surface area × depth
surface area = 16.0 (mi)²
depth = 0.009659 mi
volume = 16.0 × 0.009659 = 0.15454 (mi)³
Next, since we are asked to report the volume in litres, let us convert from cubic miles to litres
1 cubic mile = 4.168 × 10¹² litres
∴ 0.15454 cubic miles = 4.168 × 10¹² × 0.15454
= 6.44 × 10¹¹ Litres
∴ Volume of the lake = 6.44 × 10¹¹ Litres