Question

a cuboid has a total surface area of 100m2 and the lateral surface area is 50m2. Find the area of its base​

Answer 1

Answer:

25m² is the base area of the cuboid

Explanation:

Given:

• Total surface area of a cuboid is 100m²
• The lateral surface area of the cuboid = 50m²

Need to Find:

• The area of its base.

Solution

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

Lateral surface area of a cuboid = 2( lh + bh )

Base area of a cuboid = lb

Where,

• l = length
• b = breath
• h = height

Total surface area = 2( lb + lh + bh )

Total surface area = 2( lh + bh ) + 2( lb )

Substituting 100m² as TSA and 50m² as 2( lh + bh )

⟹ 100m² = 50m² = 2lb

⟹ 50m² = 2lb

⟹ 50m²/2 = lb

⟹ 25m² = lb

Base area of the cuboid = lb = 25m²

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