A standard gold bar has dimensions of roughly 0.15 m × 0.1 m × 0.05 m, and the d

Question

A standard gold bar has dimensions of roughly 0.15 m × 0.1 m × 0.05 m, and the density of gold is 19300 kg/m3. The cost of gold is about $37000 per kilogram.

(a) Find the mass of a bar of gold (show your work).

(b) The mass of a $100 bill is one gram (0.001 kg).

Would you rather receive a gift of 1 kg of dollar bills or 1 kg of gold? Show your work.

(c) The density of paper is only slightly less than that of water, about 950 kg/m3. Would you rather receive a gift of 1 cubic meter of $100 bills or 1 cubic meter of gold? Show your work.

Explanation / Answer

(a)  the mass of a bar of gold = the density of gold * volume of gold bar

= 19300 kg/m3. *  0.15 m × 0.1 m × 0.05 m

= 144.75 kg

(b)   mass of a $100 bill is one gram

so 1 kg of dollar bills will cost = $100 × 1000 g

= $100000

so cost of 1 kg of gold = $37000

since cost of 1kg dollar bills are comparitively more than the cost of 1kg gold

I would like to receive a gift of 1 kg of dollar bills.

(c)the density of paper is 950 kg/m3

so mass = 950 kg in  1 cubic meter

so 1 cubic meter of $100 bills of paper = 950 *$100000

= $95000000

1 cubic meter of gold of mass is = 19300 kg

the cost of gold in 1 cubic meter = 19300 * 37000

= $ 714100000

I would like to receive a gift of 1 cubic meter of gold

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.