you measure a tub shaped as a rectangular prism to be be 3ft wide, 4 ft long, and 2.5 feet tall to the nearest half foot. What are the minimum and maximum volumes of the tub? What is the greatest possible percent error in calculating the volume of the tub?

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frika

Answer:

Maximum: 47.25 cubic feet

Minimum: 17.5 cubic feet

Step-by-step explanation:

You measure a tub shaped as a rectangular prism to be be 3 ft wide, 4 ft long, and 2.5 feet tall to the nearest half foot.

The maximum sizes:

Width = 3.5 ft

Length = 4.5 ft

Height = 3 ft

Volume

[tex]V_{max}=3.5\cdot 4.5\cdot 3=47.25\ ft^3.[/tex]

The minimum sizes:

Width = 2.5 ft

Length = 3.5 ft

Height = 2 ft

Volume

[tex]V_{max}=2.5\cdot 3.5\cdot 2=17.5\ ft^3.[/tex]