Question

2. The picture shows a feeding trough that is shaped like a right prism. (a) The top of the feeding trough is open so that animals can access its contents. List the area of each face of the feeding trough. (b) What is the surface area of the trough? Answer:

Answer 1

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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