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Vidaara.orgClass 6 · Mathematics
CodeVID-M6-00-CT
Surface Area & Nets — Full Chapter Test
Chapter: Surface Area & Nets
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • This is a full-length test covering the whole chapter — every topic is included.
  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A net is a 2D pattern that folds into a:
  • A.line
  • B.3D shape
  • C.circle
  • D.point
2.
Total surface area is the sum of the areas of all:
  • A.edges
  • B.faces
  • C.vertices
  • D.corners
3.
A cube's net has how many square faces?
  • A.$4$
  • B.$5$
  • C.$6$
  • D.$8$
4.
The TSA of a cube is:
  • A.$a^3$
  • B.$6a^2$
  • C.$4a^2$
  • D.$a^2$
5.
A cuboid has how many faces?
  • A.$4$
  • B.$5$
  • C.$6$
  • D.$8$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
How many faces does a cube have?
7.
Find the TSA of a cube of edge $4$.
8.
How many faces does a cuboid have?
9.
Find the TSA of a cube of edge $5$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
How many faces, edges and vertices does a cube have?
11.
Find the TSA of a cube of edge $6$.
12.
How many rectangles are in a triangular prism's net?
13.
Find the TSA of a cuboid $8\times5\times3$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Describe the net of a cuboid: state how many faces it has and their shapes.
15.
A box is a cuboid $12$ cm $\times$ $8$ cm $\times$ $5$ cm. Find its total surface area using its net.

Answer Key

Section A — Multiple Choice Questions
  1. (B) 3D shape
  2. (B) faces
  3. (C) $6$
  4. (B) $6a^2$
  5. (C) $6$
Section B — Short Answer (2 marks)
  1. $6$.
  2. $96$.
  3. $6$.
  4. $150$.
Section C — Short Answer (3 marks)
  1. $6$ faces, $12$ edges, $8$ vertices.
  2. $216$.
  3. $3$.
  4. $158$.
Section D — Long Answer (5 marks)
  1. $6$ rectangular faces ($3$ pairs of equal rectangles).
  2. $392$ cm$^2$.
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