Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D/3D

Question:

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 a is $6a^2$
(D) Volume of a Cube of edge length a is $a^3$

Choose the correct answer from the options given below:

Options:

(A), (B), (C), (D)

(A), (C) & (D) only

(B), (A) & (D) Only

(C), (D) & (A) Only

Correct Answer:

(A), (C) & (D) only

Explanation:

The correct answer is Option (2) → (A), (C) & (D) only

Analysis of Statements

(A) 72 kmph = 20 m/s

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

$72 \times \frac{5}{18} = 4 \times 5 = 20 \text{ m/s}$.

Statement (A) is CORRECT.

(B) 25 m/s = 80 kmph

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

$25 \times \frac{18}{5} = 5 \times 18 = 90 \text{ km/h}$.

Statement (B) is INCORRECT.

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

A cube has 6 faces, and the area of each face is $a^2$. Therefore, the total surface area is $6a^2$.

Statement (C) is CORRECT.

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

The volume of a cube is calculated as $\text{length} \times \text{width} \times \text{height}$, which is $a \times a \times a = a^3$.

Statement (D) is CORRECT.

Conclusion

Statements (A), (C), and (D) are mathematically correct.