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mr_godi [17]
3 years ago
11

Tim and Tom use a liters of paint on a large shipping crate. If the next crate they need to paint has a similar shape, but twice

the volume, how much paint should they plan on buying?
Mathematics
1 answer:
zhenek [66]3 years ago
4 0
Assuming the shipping crate is a box wide sides = sso the volume of the crate is s^3
since the new crate is two times the volume so 2s^3then solve the side of the new crate
x = (2s^3)^(1/3)x = 1.26s
solving the surface area of the new crate
a = 6x^2a = 6(1.26s)^2a = 6(1.58s^2)so tim and tom should buy 1.58 times the original paint
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____________________________________________
Explanation:
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Formula for "Area of a trapezoid" :
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Area = (1/2) * (base length 1 + base length 2) * height;

or:  A = (1/2) * (b + B) * h.

We are missing the value for "b" one of the base lengths.

However, since:  A = 68² (given) ;  B (the other base length) = 21;  and the perpendicular height, "h" = 4 ;  we can plug this values into the formula, and solve for "b" ;
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A = (1/2) * (b + B) * h ;  ↔  68² = (1/2) * (b + 21) * 4 ;

 ↔  <span>4624 = 2 (b + 21) = 2b + 42 ;

</span> ↔  <span>4624 = 2b + 42 ; 

</span> ↔  <span>2b + 42 = 4624 ;

Subtract "42" from each side of the equation:

     2b + 42 - 42 = 4624 - 42 ;

to get:   2b = 4582 ;
</span>___________________________________________________
    Now, divide each side of the equation by: "2" ; to isolate "b" on one side of the equation; and to solve for "b" ;
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             2b / 2 = 4582 / 2 ;
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 to get:    b = 2291 units.
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6 0
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SO discriminant is always less than 0
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