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DSSSB PRT 2022 Afternoon 📅 16 Mar, 2022

The area of a circle is 1848 cm². The circumference of this circle is equal to the length of the longest rod that can be placed in a cube. What is the total surface area of this cube?

A
64256 cm²
B
54548 cm²
C
52422 cm²
D
46464 cm²
Result Summary
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DSSSB PRT
2022 • 16 Mar, 2022 • Afternoon
The area of a circle is 1848 cm². The circumference of this circle is equal to the length of the longest rod that can be placed in a cube. What is the total surface area of this cube?
Correct Answer
46464 cm²
• **Circle:** πr² = 1848 -> (22/7)r² = 1848 -> r² = 588 -> r = 14√3. • **Circumference:** 2πr = 2 × (22/7) × 14√3 = 88√3. • **Cube:** Longe......
Ref/Book : DSSSB PRT 2022
Ref. Subject Maths
Chapter -
Ref. Topic Mensuration
Pg. No -
💡 Analysis & Explanation
• **Circle ▼
** πr² = 1848 -> (22/7)r² = 1848 -> r² = 588 -> r = 14√3.
• **Circumference ▼
** 2πr = 2 × (22/7) × 14√3 = 88√3.
• **Cube ▼
** Longest rod = Diagonal = a√3.
• **Equate ▼
** a√3 = 88√3 -> Side (a) = 88.
• **TSA of Cube ▼
** 6a² = 6 × (88)² = 6 × 7744 = 46464 cm².
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