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In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: What is the side of a cube with surface area of 150 cm2? Quantity B: What is the height of a cuboid with volume of 240 cm3 and length and breadth of 8 cm and 6 cm respectively?

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: What is the side of a cube with surface area of 150 cm2? Quantity B: What is the height of a cuboid with volume of 240 cm3 and length and breadth of 8 cm and 6 cm respectively? Correct Answer Quantity A = Quantity B

Solving for Quantity A:

∵ Surface area of cube = 6(side)2

⇒ 150 = 6(side)2

⇒ (side)2 = 150/6 = 25

⇒ Side of cube = √25 = 5 cm

⇒ Quantity A = 5 cm

Solving for Quantity B:

∵ Volume of cuboid = length × breadth × height

⇒ 240 = 8 × 6 × height

⇒ Height of cuboid = 240/48 = 5 cm

⇒ Quantity B = 5 cm

∴ Quantity A = Quantity B

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