Question

Please help! I am unsure how to solve.

The density D of water is 3.12*10^-2 tons per cubic foot. The volume V in a lake is 4.266*10^14 cubic feet. Use the formula D=M/V to find the mass M (in tons) of the water in the lake using scientific notation.

Answer 1

Mass of water in the lake is 1.3309 × 10¹³ tons.

Explanation:

Density is defined as mass divided by volume.

Given:

Density of water, d = 3.12 × 10⁻² tons / cubic foot

Volume of the lake, v = 4.266 × 10¹⁴ cubic feet

Mass of the water in tons, m = ?

Formula to be used:

`$d = (m)/(V)`

Mass = Density × Volume

= 3.12 × 10⁻² tons / cubic foot × 4.266 × 10¹⁴ cubic feet

= 1.3309 × 10¹³ tons of water