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damaskus [11]
3 years ago
7

Can someone please answer a-d I have 5 mins!!!! 6 points and Brainly:)

Mathematics
1 answer:
Ket [755]3 years ago
5 0

Answer:

a) 12×6=72 cm²

b) 3x6:2= 9 cm²

c) 3x6:2=9 cm²

d) 72-9-9= 54 cm²

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Metal Fabrication If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and be
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Answer:

  • ength (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
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Step-by-step explanation:

Let x is the side of identical squares

By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:

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  • width(w): (10-2x)
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The volume will be:

V = (10-2x) (10-2x) x

<=> V = (10x-2x^{2}) (10-2x)

<=> V = 100x -20x^{2} - 20x^{2} + 4x^{3}

<=> V = 4x^{3}  - 40x^{2} + 100x

To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume

dV/dx = 12x^{2} -80x + 100

<=>  12x^{2} -80x + 100 =0

<=> x = 5 or x= 5/3  

You know 'x' cannot be 5 , because if  we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3

=>

  • length (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
  • height(h): 5/3
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