Question

A gold bar is similar in shape to a rectangular prism. A gold bar is approximately 7 in.times3 and five eighths
in.times1 and one fourth
in. If the value of gold is $ 1 comma 354 per​ ounce, about how much is one gold bar​ worth? Use the formula walmost equals​11.15n, where w is the weight in ounces and nequalsvolume in cubic​ inches, to find the weight in ounces. Explain how you found your answer.
Question content area bottom
Part 1
The volume of the gold bar is about
  
enter your response here
▼
in squared
in.
in cubed
​, so the weight is approximately
  
enter your response here ounces.​ So, one gold bar is worth about ​$
  
enter your response here.
​(Type whole numbers or decimals rounded to the nearest hundredth as​ needed.)

Answer 1

Volume = 7 × 3 5/8 × 1 1/4 = 7 × 3.625 × 1.25 = 31.71875 ≈ 31.72 in^3.

Weight w ≈ 11.15 · n = 11.15 · 31.71875 = 353.6640625 ≈ 353.66 ounces.

Value = 353.6640625 oz × $1,354/oz = $478,861.140625 ≈ $478,861.14.

Answers:
- Volume ≈ 31.72 in^3
- Weight ≈ 353.66 ounces
- Value ≈ $478,861.14