Chapter 14 · Class 8 CBSE · Worksheet

Mensuration (Area & Volume) Worksheet — Class 8 CBSE Maths

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Mensuration (Area & Volume)

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Ravi is trying to explain the formula for the area of a trapezium. He says, "The formula A = 1/2 × h × (a + b) works because a trapezium can be thought of as a rectangle with base (a+b)/2 and height h." Which of the following statements about Ravi's reasoning is true?

A.Ravi's explanation is incorrect because a trapezium cannot be simplified to a rectangle.
B.Ravi's explanation is correct and accurately describes the geometric intuition behind the formula.
C.Ravi's explanation is partially correct, but it should be A = h × (a + b) not 1/2 × h × (a + b).
D.Ravi's explanation is incorrect; the formula involves dividing the trapezium into two triangles.

Difficulty: Easy

Q2.A regular hexagon has a side length of 6 cm. If it is divided into two identical trapeziums and one rectangle, what information is essential to calculate its area using this method?

A.Only the side length of the hexagon is required.
B.The side length of the hexagon and the apothem (distance from center to midpoint of a side).
C.The side length of the hexagon, and the height of the trapeziums formed.
D.The side length of the hexagon and the perimeter of the hexagon.

Difficulty: Easy

Q3.Which of the following statements is TRUE regarding the surface area of a solid cube?

A.If a cube is cut into two identical cuboids, the total surface area of the two cuboids remains the same as the original cube.
B.The total surface area of a cube is the sum of the areas of its six faces.
C.The surface area of a cube is always equal to its volume.
D.If the side length of a cube is doubled, its surface area also doubles.

Difficulty: Easy

Q4.A farmer has a field in the shape of a quadrilateral ABCD. The diagonal AC is 24 m. The perpendiculars from B and D to AC are 8 m and 13 m respectively. What is the area of the field?

A.144 m²
B.216 m²
C.252 m²
D.336 m²

Difficulty: Easy

Q5.A cuboid has a length of 10 cm, a breadth of 5 cm, and a height of 4 cm. If its length is doubled and its height is halved, how does the new volume compare to the original volume?

A.The new volume is four times the original volume.
B.The new volume is half the original volume.
C.The new volume is double the original volume.
D.The new volume remains the same as the original volume.

Difficulty: Easy

Q6.Which of the following correctly describes the components used to calculate the Total Surface Area (TSA) of a closed cylinder?

A.Only the area of the curved surface.
B.The sum of the area of one circular base and the curved surface area.
C.The sum of the areas of the two circular bases and the curved surface area.
D.The sum of the areas of the two circular bases only.

Difficulty: Easy

Q7.A farmer measures his rectangular field as 50 meters long and 30 meters wide. He wants to know the area of his field. Which unit should he use for the area?

A.meters (m)
B.square meters (m²)
C.cubic meters (m³)
D.hectares (ha)

Difficulty: Easy

Q8.A large rectangular box has inner dimensions of 60 cm length, 40 cm width, and 30 cm height. How many small cubic boxes, each with a side length of 10 cm, can be packed inside the large box?

A.12
B.24
C.72
D.100

Difficulty: Easy

Answer Key — Sample Questions+
Q1:Ravi's explanation is correct and accurately describes the geometric intuition behind the formula.
Q2:The side length of the hexagon, and the height of the trapeziums formed.
Q3:The total surface area of a cube is the sum of the areas of its six faces.
Q4:252 m²
Q5:The new volume is double the original volume.
Q6:The sum of the areas of the two circular bases and the curved surface area.
Q7:square meters (m²)
Q8:72

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About This Worksheet

TopicMensuration (Area & Volume)
BoardCBSE
Class8
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download a free Mensuration (Area & Volume) worksheet for Class 8?+
You can download a free Mensuration (Area & Volume) PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.
How many questions are in the Mensuration (Area & Volume) worksheet?+
Each SparkEd worksheet for Mensuration (Area & Volume) contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.
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