Question : The length of a cuboid is 4 cm. If the breadth of the cuboid is four times its length and the height of the cuboid is twice its length, then what is the lateral surface area of the cuboid?
Option 1: 380 cm2
Option 2: 440 cm2
Option 3: 260 cm2
Option 4: 320 cm2
Correct Answer: 320 cm 2
Solution :
Given that:
Length, L = 4 cm
Breadth, B = four times the length (L), so B = 4L
Height, H = two times the length (L), so H = 2L
Now, substitute the given values:
⇒ L = 4 cm, B = 4 × 4 =16 cm, and H = 2 × 4 = 8 cm
Lateral surface area (LSA) = 2 × H × (L + B) = 2 × 8 × (4 + 16)
= 2 × (32 + 128)
= 2 × 160
= 320 cm
2
Hence, the correct answer is 320 cm
2
.
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