Question

1. Find the total surface area and lateral surface area of a cuboid with the following dimensions:
(a) length = 14 cm, breadth = 10 cm and height = 12 cm
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Answer 1

To Find:-

• Total surface area of cuboid
• Lateral surface area of cuboid

Given:-

• Length = 14 cm
• Breadth = 10 cm
• Height = 12 cm

Solution:-

We know that Total surface area of a cuboid

= 2( lb + bh + lh )

and

Lateral surface area of cuboid is

= [ 2( l + b ) × h ]

So,

• Total surface area

= 2 ( 14×10 + 10×12 + 14×12 )

= 2 ( 140 + 120 + 168 )

= 2 × 428

= 856cm².

• Lateral surface area

= [2 ( 14 + 10 ) × 12 ]

= 2 × 14 × 12

= 336cm².

Required Answer

• Total surface area of cuboid = 856cm².
• Lateral surface area of cuboid = 336cm².