Question : The length and breadth of a cuboidal store are in the ratio 2 : 1 and its height is 3.5 metres. If the area of its four walls (including doors) is 210 m2, its volume is ____.
Option 1: 679 m3
Option 2: 700 m3
Option 3: 567 m3
Option 4: 1050 m3
Correct Answer: 700 m 3
Solution :
According to the question
The length and breadth of a cuboidal store are 2$x$ and $x$ respectively.
Height = 3.5
Area of four walls = 2 × (length + breadth) × height
⇒ 2(2$x$ + $x$) × 3.5 = 210
⇒ 2(2$x$ + $x$) × 3.5 = 210
⇒ 3$x = \frac{210}{7}$ = 30
⇒ $x = \frac{30}{3}$ = 10
⇒ The volume of the cuboidal store = length × breadth × height = $2x × x × 3.5$ = 20 × 10 × 3.5 = 700
Hence, the correct answer is 700 m
3
.
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