Question

The length of a cuboid having breath=4cm, height =4cm and total surface area is 148 cm square
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Answer 1

Step-by-step explanation:

Given conditions:-

↠ TSA of cuboid = 148 cm²

↠ Length(l) = 4 cm

↠ Breadth (b) = 4 cm

To find out:-

↠ Height of cuboid = ?

Solution:-

Here, length & breadth has been given.

As we know formula:-

☛ {TSA \: of \: cuboid = 2(lb + bh + hl) }}}}

TSAofcuboid=2(lb+bh+hl)

Putting values:-

⇒ 148 = 2 [(4 × 4) + (4 × h) + (h × 4)]

⇒ 148 = 2[16 + 4h + 4h]

⇒ 16 + 8h = 148/2

⇒ 16 + 8h = 74

⇒ 8h = 74 - 16

⇒ 8h = 50

⇒ h = 50/8

⇒ h = 6.25

So, height of cuboid = 6.25 cm.

Additional information:-

⇒ Volume of cuboid = lbh

⇒ Surface area of cuboid = 2(l + b) × h

⇒ Diagonal of cuboid = √(l² + b² + h²)