DSSSB 14 August 2024
Non Nursing Subjects
Medium

The volume (in m³) of a cuboidal tank, whose dimensions are given as 16 m × 36 m × 14 m, is:

Appeared in: DSSSB 14 August 2024

Explanation

  • The volume of a cuboid is calculated using the formula: Volume = Length × Width × Height.
  • Substituting the given dimensions: Volume = 16 m × 36 m × 14 m.
  • The product of these dimensions is 8064, so the volume of the tank is 8064 m³.

Why Other Options Were Wrong

  • Option A: This value is incorrect. It is likely the result of a miscalculation during the multiplication of the dimensions.
  • Option C: This value is incorrect. It is likely the result of a miscalculation during the multiplication of the dimensions.
  • Option D: This value is incorrect. It is likely the result of a miscalculation during the multiplication of the dimensions.

Related Visual

Visual explanation — Related Visual
Clinical Relevance
  • Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of the volume of a cuboid as background academic context rather than a clinical decision trigger.
  • Numeracy is a fundamental skill for nurses, essential for tasks like medication dosage calculation, IV drip rate regulation, and fluid balance charting.
  • While this question is about a tank, the same mathematical principle (volume calculation) applies to determining the capacity of containers for medical supplies or calculating fluid intake/output.
  • What if? - If the question asked for the capacity in liters, you would first calculate the volume in cubic meters (8064 m³) and then convert it, knowing that 1 m³ = 1000 liters. The answer would be 8,064,000 liters.
How to Approach the Question
  • First, identify the key information from the question: the shape is a cuboid and the dimensions are 16 m, 36 m, and 14 m.
  • Recall the formula for the volume of a cuboid: Volume = Length × Width × Height.
  • Substitute the given values into the formula: Volume = 16 × 36 × 14.
  • Perform the multiplication step-by-step to avoid errors: (16 × 36) = 576, then (576 × 14) = 8064.
  • Compare your calculated result (8064) with the given options to find the correct answer.
Concept Tested & Keywords
  • Concept Tested: Calculation of the volume of a cuboid.
  • Stem keywords: volume, cuboidal tank, dimensions, 16 m, 36 m, 14 m
  • Lead-in keywords: is:

Question ID

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