Question : The sum of the length and breadth of a cuboid is 40 cm. If the height of the cuboid is $\frac{1}{5}$ of the sum of its length and breadth, then what is the lateral surface area of the cuboid?
Option 1: $580 {~cm}^2$
Option 2: $320 {~cm}^2$
Option 3: $640 {~cm}^2$
Option 4: $720 {~cm}^2$

Question

Question : The sum of the length and breadth of a cuboid is 40 cm. If the height of the cuboid is $\frac{1}{5}$ of the sum of its length and breadth, then what is the lateral surface area of the cuboid?

Option 1: $580 {~cm}^2$

Option 2: $320 {~cm}^2$

Option 3: $640 {~cm}^2$

Option 4: $720 {~cm}^2$

Team Careers360 · Accepted Answer

Correct Answer: $640 {~cm}^2$

Solution : The sum of the length ($l$) and breadth ($b$) is 40 cm
⇒ $l+ b = 40$ cm
The height of the cuboid = $\frac{1}{5}(l+b)$
= $\frac{1}{5}(40)$ = 8 cm
lateral surface area (L.S.A) of the cuboid = 2$(l+b)$ × height, where
$l$ = length; $b$ = breadth
⇒ L.S.A = 2 × 40 × 8
= 640 cm²
Hence, the correct answer is $640 ~cm^2$.

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Question : The sum of the length and breadth of a cuboid is 40 cm. If the height of the cuboid is 15 of the sum of its length and breadth, then what is the lateral surface area of the cuboid?Option 1: 580 cm2Option 2: 320 cm2Option 3: 640 cm2Option 4: 720 cm2

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