Question

Prospectors are considering searching for gold on a plot of land that contains 2.45 g of gold per bucket of soil. If the volume of the bucket is 5.25L, how many grams of gold are there likely to be in 1.0 cubic feet of soil

Answer 1

13.2 g of gold

Step-by-step explanation:

We'll begin by converting 5.25 L to ft³.

This can be obtained as follow:

Recall:

1 L = 0.0353 ft³

Therefore,

5.25 L = 5.25 × 0.0353

5.25 L = 1.85×10¯¹ ft³

From the question given above,

2.45 g of gold is present in 5.25 L ( i.e 1.85×10¯¹ ft³) of soil.

Therefore, Xg of gold will be present in 1 ft³ of soil i.e

Xg of gold = 2.45/1.85×10¯¹

Xg of gold = 13.2 g

Therefore, 13.2 g of gold is present in 1 ft³ of the soil.