Mathematics
The lateral surface area of a cuboid is 224 cm2. Its height is 7 cm and the base is a square. Find
(i) a side of the square, and
(ii) the volume of the cuboid.
Mensuration
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Answer
(i) Since, base is a square.
Length = Breadth = x cm (let).
By formula,
Lateral surface area = 2(l + b) × h
⇒ 224 = 2(x + x) × 7
⇒ 224 = 2(2x) × 7
⇒ 28x = 224
⇒ x = = 8 cm.
Hence, the side of square = 8 cm.
(ii) Volume of cuboid = l × b × h
= 8 × 8 × 7
= 448 cm3.
Hence, volume of cuboid = 448 cm3.
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