Question

50 pounds is equal to 22,700 grams. How many pounds does this backpack full of gold weigh? Would you be able to carry out that backpack filled with gold?

Answer 1

The question is incomplete. Here is the complete question.

7) A standard backpack is approximately 30cm x 30cm x 40cm. Suppose you find a hoard of pure gold (density = 19.3 g/cm³) while treasure hunting in the wilderness. How much mass would your backpack hold if you filled it with gold?

8) 50 pounds is equal to 22,700 grams. How many pounds does this backpack full of gold weigh? Would you be able to carry out that backpack filled with gold?

Answer: 7) m = 694,800g

              8) It wieghts 1530.4 lbf

Explanation:

7) Volume of the backpack will be

V = 30 x 30 x 40

V = 36000 cm³

According to density of gold, each cm³ corresponds to 19.3g, then:

m = 19.3$\frac{g}{cm^{3}}$ * 36000cm³

m = 694800g

If I filled it with gold, the backpack will hold 694800g or 694.8kg.

8) 50 pounds is equal to 22700g. Then:

50 pound = 22700g

W = 694800g

W = $\frac{694800.50}{22700}$

W = 1530.4 lbf

The backpack, in pounds, will weigh 1530.4lbf, which is very heavy to be supported by a human body.