The volume of a cuboid is $120$ cubic meters, and its lateral surface area is $140$ square meters. The length, breadth, and height of the cuboid are l...

Banking SBI PO Mains Medium Verbal Reasoning MCQ

Question

The volume of a cuboid is $120$ cubic meters, and its lateral surface area is $140$ square meters. The length, breadth, and height of the cuboid are $l$ , $b$ , and $h$ respectively, where all are integers and $l > b$ . Given the following quantities:

Quantity I: $2l - b - \frac{h}{2}$
Quantity II: $\frac{3b \times l}{h}$
Quantity III: $2b - l + h$

Which of the following relations is true?

Options

Quantity I $<$ Quantity II $<$ Quantity III

Quantity I $<$ Quantity II $>$ Quantity III

Quantity I $\geq$ Quantity II $=$ Quantity III

Quantity I $\leq$ Quantity II $>$ Quantity III

cuboidvolumelateral surface areainequalitiesalgebra

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