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aivan3 [116]
3 years ago
10

The picture shows a feeding trough that is shaped like a right prism.

Mathematics
1 answer:
ollegr [7]3 years ago
5 0
A)We have been given →

Hieght of trough = 5m

length of trough = 6m

Breadth of trough = 4m

so , As the top is opened for feeding animals.

Area of base = length× Breadth

= (6×4) m²
= 24 m²

Area of Front and back face = Hieght × length

= (5×6) m²
= 30m²

Area of side faces = hieght × Breadth

= (5×4) m²
= 20 m²
____________________________________

B)Total Surface area of trough will be given by formula - 2(lb+bh+hl)

= 2{(6×4)+(4×5)+(5×6)}

= 2{24+20+30}

= 2×74

= 148 m²

As we have been told top is open , so we will deduct top from Total surface Area to obtain Surface area →

(148-24) m²

(Area of top will be same as base area , that is 24m² as we have solved in A)

= 124m²

Answer→ Surface area of trough is 124m²
___________________________________
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Answer:

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Step-by-step explanation:

using quotient rule

\frac{d}{dx} (\frac{f}{g} )= \frac{f'(g)-g'(f) }{g^2}

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simplifying to make it easier to plug in

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= \frac{(2x^3+12x^2+18x+6x^2+36x+9)-(6x^2+36x+2x^3+12x^2)}{(x+3)^4}

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