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MCQ

area-perimeter-volume-surface-area-l2 MCQ - Practice Questions with Answers

Solve 29 area-perimeter-volume-surface-area-l2 questions for RAS/RPSC preparation.

Practice questions

Q1Which statement correctly distinguishes a right circular cylinder from a slant cylinder?

A Its circular bases are unequal.
B Its height must always be equal to its radius.
C Its axis is perpendicular to the parallel circular bases.
D Its curved surface area is measured in cubic units.
Explanation

In a right circular cylinder, the circular bases are parallel and the axis meets them at a right angle. Equal base circles and square-unit surface area are still important, but they do not by themselves state the right-cylinder condition.

Q2A teacher wants students to first experience perimeter as boundary length before using the formula for a rectangle. Which classroom activity is most suitable?

A Fill a box with unit cubes and count them.
B Cover the rectangle with equal paper squares.
C Wrap a thread around the rectangle's edge, straighten it, and measure it.
D Draw the net of a cube and label all six faces.
Explanation

Thread placed along the edge shows perimeter as the distance around a closed figure, matching NCERT/RBSE middle-stage mathematics. Filling cubes points to volume, covering squares points to area, and a cube net points to faces of a solid.

Q3A rectangular classroom display board is 8 cm long and 3 cm wide in a scale drawing. Which measurement gives the length of lace needed to cover its boundary once?

A 22 cm
B 24 square cm
C 11 cm
D 24 cm
Explanation

Lace around the boundary asks for perimeter, so add all four sides: 8 plus 3 plus 8 plus 3 equals 22 cm. Multiplying 8 and 3 gives area, and 11 cm counts only half the boundary.

Q4A rectangle is 9 cm by 4 cm. Which statements are true? I. Its area is 36 square cm. II. Its perimeter is 26 cm. III. The same number 36 must also be its perimeter.

A I only
B II only
C I and II
D I, II and III
Explanation

Devika should choose C. The area is 36 square centimetres, but the perimeter is 2 times 13, or 26 centimetres. This question tests area-perimeter separation.

Q5A learner writes the area of a 6 cm by 4 cm rectangle as 24 cm. Which teacher response best addresses the error?

A Ask the learner to memorize the rectangle area formula again.
B Say that 24 cm is acceptable because the number is correct.
C Make the learner cover the rectangle with unit squares and then write the result in square cm.
D Ask the learner to find the perimeter instead of the area.
Explanation

The learner has likely remembered multiplication but has not connected area with covering by square units. Using unit squares fixes the exact misconception; repeating the formula or accepting 24 cm leaves the unit error in place.

You've seen 5 of 29 sample questions

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More questions

6A student opens a cardboard cuboid box and lays all its faces flat without tearing any face. What is this flat arrangement called?

APerimeter of the cuboid
BNet of the solid
CVolume of the cuboid
DPerpendicular height

7A cube-shaped box has side 6 cm. It is open at the top and painted only on the outside faces. What area is painted?

A36 square cm
B144 square cm
C216 square cm
D180 square cm

8Match the classroom object with the best concept: 1. Thread around notebook 2. Grid covering a card 3. Unit cubes in a box 4. Net of a cuboid

A1-Area, 2-Perimeter, 3-Surface area, 4-Volume
B1-Perimeter, 2-Area, 3-Volume, 4-Surface area
C1-Volume, 2-Area, 3-Perimeter, 4-Surface area
D1-Perimeter, 2-Volume, 3-Area, 4-Surface area

9A rectangular classroom notice board has length 8 cm and breadth 3 cm in a scale drawing. Which measurement gives the boundary length of the drawing?

A22 cm
B24 square cm
C11 cm
D24 cubic cm

10A right circular cylinder has diameter 14 cm and height 10 cm. Using pi equal to 22 over 7, what is its curved surface area?

A154 square cm
B440 square cm
C748 square cm
D880 square cm

11Which unit is suitable for the volume of a cuboid made from small cubes?

Acm
Bsquare cm
Cmetre only
Dcubic cm

12Assertion: A cylindrical bottle label that wraps only around the side uses curved surface area. Reason: The circular top and bottom are not covered by the label.

AAssertion true, Reason false
BAssertion false, Reason true
CBoth true, but Reason does not explain Assertion
DBoth true, and Reason explains Assertion

13Imran wants to put a rope around a rectangular garden. Which measurement is needed first?

AArea
BPerimeter
CVolume
DCurved surface area

14A cuboid tank is open at the top. Which faces are included when finding sheet needed to make it?

ABottom and four side faces
BAll six faces
COnly four side faces
DOnly top and bottom

15For each task, decide whether the measurement needed is surface area or volume. How many tasks need volume: filling water in a cylindrical bottle, painting the outside of a cuboid, packing grain in a cubical box, pasting paper on the curved side of a tin?

A1
B2
C3
D4

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