Volume and Surface Area MCQs

Prepare for Volume and Surface Area MCQs with verified questions, past-paper solutions, and conceptual explanations for CSS, PMS, FPSC, PPSC, and NTS examinations.

260 Solved Questions • 195 Mins Practice • Updated for 2026 Competitive Exams
MCQS
2026 Solved Edition · Updated October 2026 · Verified Editorial Standards

Welcome to the verified preparation module for Volume and Surface Area MCQs on McqsMind. This comprehensive set offers solved multiple-choice questions with answers, detailed explanations, and authentic past-paper style questions aligned with the latest syllabus of Geometry (Mathematics-General Ability).

100% Verified Answer Keys CSS, PMS, FPSC, PPSC, NTS Ready 2026/2027 Syllabus Guidelines

Direct Definition & Conceptual Scope

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Volume and Surface Area constitutes an essential examination topic within Mathematics-General Ability, evaluating theoretical principles, historical context, and practical problem-solving applications. On MCQsMind, candidates practice verified past-paper solutions, conceptual breakdowns, and syllabus-aligned questions tailored for CSS, PMS, and competitive screening examinations.

Solved Questions

Practice with answers, explanations, and exam-focused revision notes.

260 MCQs Page 1

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Topic Notes: Volume and Surface Area

Quick Revision 2 min read 14 key points
Section 1 of 5

1 1. Fundamental Definitions

3 points
  • Definition
    Volume: Represents the total 3D space occupied by an object, measured in cubic units (e.g., cm³, m³).
  • Definition
    Surface Area: The total area of all outer faces of a 3D object, measured in square units (e.g., cm², m²).
  • Definition
    Lateral Surface Area: The area of the sides of a 3D object, excluding the top and bottom bases.
Section 1 / 5
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1
Find the volume of a cylinder with radius 9 cm and height 16 cm (use pi = 3.142).
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2
The area of the base of a right circular cone is 154 cm² and its height is 14 cm. Its curved surface area is:
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3
What is the volume of a tetrahedron with an edge length of 6 cm?
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4
If a right square pyramid has a base side of 10 cm and a volume of 400 cm³, what is its height?
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5
A hemispherical bowl has a diameter of 12 cm. It is full of liquid. The liquid is emptied into cylindrical bottles of radius 3 cm and height 4 cm. How many bottles are needed?
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6
What is the ratio of the volume of a cylinder to the volume of a sphere inscribed perfectly inside it?
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7
The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is:
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8
If a sphere and a cube have equal surface areas, what is the ratio of the volume of the sphere to the volume of the cube?
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9
A right circular cylinder and a right circular cone have the same base radius and height. If the ratio of their curved surface areas is 8:5, find the ratio of the radius to the height.
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10
The diameter of a hollow cone is 14 cm and its height is 24 cm. Find its curved surface area.
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Pedagogical Syllabus Blueprint

Volume and Surface Area MCQs: Preparation Strategy & Exam Blueprint

Examination Weightage & Commission Distribution

In Pakistan's premier competitive examinations—including the Federal Public Service Commission (FPSC General Recruitment & CSS MPT), Punjab Public Service Commission (PPSC Lecturer, Tehsildar & PMS Screening), KPPSC, SPSC, and BPSC—questions derived from Volume and Surface Area MCQs consistently constitute a decisive 10% to 25% weightage of the Geometry paper. Testing agencies frequently evaluate both foundational factual recall and deeper analytical comprehension, requiring aspirants to master key dates, statutory articles, constitutional clauses, and thematic definitions.

High-Yield Conceptual Pillars & Distractor Analysis

Historical trend analysis across past five-year examination cycles demonstrates that examiner traps frequently involve closely matched numerical alternatives, chronologically contiguous treaties, and semantic subtleties in statutory phraseology. When preparing Volume and Surface Area MCQs, candidates must deliberately review the underlying rationale provided for every question rather than merely memorizing raw answer options. Understanding why incorrect distractors fail is the most reliable predictor of achieving top percentiles in computerized and optical mark recognition (OMR) screening tests.

Negative Marking Mitigation & Time Management Protocol

For examinations enforcing negative marking penalties (such as PPSC's 0.25-mark deduction per erroneous response or NTS gatekeeper quotas), an aggressive elimination technique must be deployed. Candidates should systematically rule out improbable options first to elevate probability thresholds from 25% to 50% or 100%. Allocating an average of 45 to 60 seconds per item during mock trials builds the psychological stamina and cognitive precision required to complete 100-question papers within official 90-minute time limits.

Recommended Reference Sources & Statutory Reading

To achieve definitive conceptual mastery in Mathematics-General Ability, candidates are advised to cross-reference our solved explanations with primary gazettes, statutory texts, and canonical academic textbooks. Verifying controversial questions against authentic official repositories guarantees that prospective civil servants and professional candidates present incontestable answers during both optical paper evaluations and viva voce departmental interviews.