The volume (in m³) of a cuboidal tank, whose dimensions are given as 4 m x 7 m x 11 m, is:

Appeared in: DSSSB 12 August 2024

Explanation

The volume of a cuboid is determined by multiplying its three primary dimensions: Length, Width, and Height.
The dimensions provided for the tank are 4 m, 7 m, and 11 m.
The calculation is as follows: Volume = 4 m × 7 m × 11 m.
Multiplying the numbers gives 28 × 11, which equals 308.
Therefore, the correct volume is 308 cubic meters (m³).

Option A: The value 268 is an incorrect product of the numbers 4, 7, and 11. It represents a simple calculation error.
Option C: The value 264 is incorrect. This result might be obtained if one of the dimensions was mistakenly used as 6 instead of 7 (i.e., 4 × 6 × 11 = 264).
Option D: The value 277 is an incorrect calculation. The product of three integers (4, 7, 11) cannot be an odd number like 277.

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.
While this is a basic math problem, the ability to calculate volume is a fundamental and critical skill in the nursing profession.
Nurses frequently use volume calculations for tasks such as determining intravenous (IV) fluid bag capacity, calculating infusion rates, preparing correct medication dosages, and measuring output from drainage systems.
Accuracy in these calculations is paramount for patient safety, as errors can lead to under-dosing or over-dosing of medications or fluids.

How to Approach the Question

First, identify the key information from the question: the shape is a 'cuboidal tank' and the dimensions are '4 m x 7 m x 11 m'.
Recall the standard formula for the volume of a cuboid, which is Volume = Length × Width × Height.
Substitute the given dimensions into the formula: Volume = 4 × 7 × 11.
Perform the multiplication in steps for accuracy. First, multiply 4 by 7 to get 28.
Next, multiply the result (28) by the remaining dimension (11). 28 × 11 equals 308.
Finally, compare your calculated answer (308) with the provided options and select the matching one.

Concept Tested & Keywords

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Practise the full DSSSB 12 August 2024

Attempt every question from this paper in a timed mock, then review the full solution for each one.