find the breadth . length = 1.5cm breath= ? height = 50cm surface area = 5.5m²
Answers
Answer:
breadth of the cuboid is 5.33 cm.
Step-by-step explanation:
Length of the cuboid = 1.5 cm
Height of the cuboid = 50 cm
Surface Area (or Total Surface Area) of cuboid = 5.5 m²
To Find:-
The breadth of the cuboid.
Solution:-
We are given with the length, height and surface are of the cuboid.
Length = 1.5 cm
Height = 50 cm
TSA = 5.5 m²
Here we can see that the units are not same. Hence we need to convert all the units into m.
We know,
1 cm = 1/100 m
Length = 1.5 cm = 1.5/100 m = 0.015 cm
Also,
Height = 50 cm = 50/100 = 0.5 cm
We know,
✭ Total Surface Area of a cuboid = 2(LB + BH + HL) sq.units.
Hence,
5.5 = 2(0.015 × B + B × 0.5 + 0.015 × 0.5)
=> 5.5 = 2(0.015B + 0.5B + 0.0075)
=> 5.5/2 = 0.515B + 0.0075
=> 2.75 = 0.515B + 0.0075
=> 2.75 - 0.0075 = 0.515B
=> 2.7425 = 0.515B
=> B = 2.7425/0.515
=> B = 5.33 cm [Approx]
Therefore the breadth of the cuboid is 5.33 cm.
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Answer:
Step-by-step explanation: