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mr_godi [17]
3 years ago
15

A traditional "square" bale of hay is actually in the shape of a rectangular prism. It's dimensions are 2 feet by 2 feet by 4 fe

et. How many square bales contain the same amount of hay as one large "round" bale. (Rounded to the nearest tenth)
Mathematics
1 answer:
aivan3 [116]3 years ago
4 0

Complete question :

A traditional "square" bale of hay is actually in the shape of a rectangular prism. Its dimensions are 2 feet by 2 feet by 4 feet. How many square bales contain the same amount of hay as one large "round" bale of height is 4 ft and its width is 5 ft?

Answer:

4 bales

Step-by-step explanation:

Given :

Dimension of rectangular prism = 2 feet by 2 feet by 4 feet

Round Bale:

Height = 4 feets

Width = 5 feets

Volume of 'Square' Bale

Volume = 2 feets * 2 feets * 4 feets

Volume = 16ft³

Volume of 'round' Bale

V = πr²h

radius, r = 4/2 = 2 feet ;

V = π * 2^2 * 5

V = 62.831853 ft³

Volume of 'round' bale ÷ Volume of 'square' bale

62.831853 ft³ ÷ 16 ft³

= 3.9269908

= 4 (nearest whole number)

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