Question
The total surface area of a cube having side 40 cm is:
This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
$9600 \text{ cm}^2$
Cube Surface Area Calculation
Problem Statement
We need to find the total surface area of a cube with a side length of 40 cm.
Solution Steps
- Identify the formula: The formula for the total surface area (TSA) of a cube with side length '$a$' is TSA = $6a^2$.
- Substitute the side length: Given the side length $a = 40 \text{ cm}$.
-
Calculate the area: Substitute the value of $a$ into the formula:
TSA = $6 \times (40 \text{ cm})^2$
TSA = $6 \times (40 \times 40) \text{ cm}^2$
TSA = $6 \times 1600 \text{ cm}^2$
TSA = $9600 \text{ cm}^2$
- Match the result: The calculated total surface area is $9600 \text{ cm}^2$, which matches Option 4.
Final Answer
The total surface area of the cube is $9600 \text{ cm}^2$.
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