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Read the information given carefully and answer the question that follows:

(A) 72 kmph = 20 m/s

(B) 25 m/s = 80 kmph

(C) Total Surface area of a Cube of edge length aa is 6a26a^2

(D) Volume of a Cube of edge length aa is a3a^3

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 2

Checking statement (A): 72 kmph = 20 m/s

To convert km/h to m/s, multiply by 518\frac{5}{18} (since 1 km = 1000 m and 1 hour = 3600 seconds, giving 10003600=518\frac{1000}{3600} = \frac{5}{18})

72×51872 \times \frac{5}{18}

=72×518= \frac{72 \times 5}{18}

=36018= \frac{360}{18}

=20= 20 m/s

Statement (A) is correct.


Checking statement (B): 25 m/s = 80 kmph

To convert m/s to km/h, multiply by 185\frac{18}{5}

25×18525 \times \frac{18}{5}

=25×185= \frac{25 \times 18}{5}

=4505= \frac{450}{5}

=90= 90 kmph

The statement claims 80 kmph, so statement (B) is incorrect.


Checking statement (C): Total Surface Area of Cube = 6a26a^2

A cube has 6 faces (top, bottom, front, back, left, right).

Each face is a square with area =a2= a^2

Total surface area =6×a2=6a2= 6 \times a^2 = 6a^2

Statement (C) is correct.


Checking statement (D): Volume of Cube = a3a^3

Volume == length ×\times width ×\times height

For a cube, all sides are equal =a= a

Volume =a×a×a=a3= a \times a \times a = a^3

Statement (D) is correct.


(A) is correct

(B) is incorrect

(C) is correct

(D) is correct

Therefore, statements (A), (C) and (D) are correct.


This is what NTA has done:

Even though option 2 and 4 are the same, they awarded marks only to option 2. If we've missed something, let us know!

Solution figure for CUET General Test 2025 13 May Shift 2 question 47 (Geometry)
Solution figure for CUET General Test 2025 13 May Shift 2 question 47 (Geometry)

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