Question

Tsa of cuboid is 214 cm square and length is 5cm and breadth is 6cm find height ​

Answer 1

Given :-

• Total surface area of cuboid is 214 cm square and length is 5cm and breadth is 6cm

To find :-

• Height of a cuboid

Solution :-

• Total surface area of cuboid = 214cm²

• Length of a cuboid = 5cm

• Breadth of a cuboid = 6cm

As we know that

→ Total surface area of cuboid = 2(lb + bh + lh)

Where " l " is length, " b " is breadth and " h " is height of cuboid.

According to the given condition

→ Total surface area of cuboid = 214cm²

→ 2(lb + bh + lh) = 214

→ 5 × 6 + 6 × h + 5 × h = 214/2

→ 30 + 6h + 5h = 107

→ 30 + 11h = 107

→ 11h = 107- 30

→ 11h = 77

→ h = 77/11

→ h = 7 cm

Hence,

• Height of a cuboid is 7cm

Answer 2

Ans
TSA: 214 cm^2
Length: 5cm
Breadth:6cm
Let height be h
TSA of cuboid: 2(lb+bh+hl)
214 = 2(5*6 +6*h +h*5 )
214= 2(30+6h +5h)
214=2(30+11h)
214=60+22h
214-60=22h
154=12h
154/12=h
7=h

Therefore height is 7cm
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