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larisa86 [58]
3 years ago
11

Ms.Ellis has a crate that is 5 feet tall, 6 feet wide, and 8 feet long. How many square feet of paint does she need to cover the

crate? Hint: find the surface area
Mathematics
1 answer:
Vladimir [108]3 years ago
3 0

Answer:

The answer to your question is 236 ft²

Step-by-step explanation:

Data

height = 5 ft

width = 6 ft

length = 8 ft

Area = ?

Process

I will consider that the crate is a rectangular prism which has 6 sides

1.- Find the area of the sides that measure 8 x 6

Area = 2 (8 x 6)

        = 2(48)

        = 96 ft²

2.- Find the area of the sides that measure 8 x 5

Area = 2(8 x 5)

Area = 2(40)

Area = 80 ft²

3.- Find the area of the sides that measure 6 x 5

Area = 2( 6 x 5)

Area = 2(30)

Area = 60

4.- Find the total area

Area = 96 + 80 + 60

Area = 236 ft²

5.- Conclusion

She needs 236 ft² of paint

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Answer:

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Step-by-step explanation:

Using binomial expansion

Formula: (n k) (a^k)(b ^(n-k))

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From the question k = 5 (i.e. 5th term)

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....................

Solving nCk

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.........................

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Substituting these values in the expression

(5x)^5 * (-y/2)^(7-5)

= (3125x^5) * (-y/2)²

= 3125x^5 * y²/4

= (3125x^5)(y²)/4

------------------------------------

Multiplying the two expression above

21 * (3125x^5)(y²)/4

= 65625/4(x^5)(y²)

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