Vidaara.orgClass 6 · Mathematics
CodeVID-M06-06-TSA-01
Total Surface Area from Nets - Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- 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.
Total surface area is the sum of the areas of all:
- A.edges
- B.faces
- C.vertices
- D.corners
2.
The TSA of a cube is:
- A.$a^3$
- B.$6a^2$
- C.$4a^2$
- D.$a^2$
3.
The TSA of a cuboid is:
- A.$lbh$
- B.$2(lb+bh+hl)$
- C.$6a^2$
- D.$4lbh$
4.
A net helps you find every ___ area.
- A.edge
- B.face
- C.vertex
- D.angle
5.
Surface area is measured in:
- A.units
- B.square units
- C.cubic units
- D.degrees
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the TSA of a cube of edge $4$.
7.
Find the TSA of a cube of edge $5$.
8.
Find the TSA of a cuboid $5\times4\times3$.
9.
What is the TSA formula for a cube?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the TSA of a cube of edge $6$.
11.
Find the TSA of a cuboid $8\times5\times3$.
12.
Find the TSA of a cuboid $10\times6\times4$.
13.
The TSA of a cube is $54$ cm$^2$. Find its edge.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
A box is a cuboid $12$ cm $\times$ $8$ cm $\times$ $5$ cm. Find its total surface area using its net.
15.
A cube has edge $7$ cm. Find its total surface area and the area of one face.
Answer Key
Section A — Multiple Choice Questions
- (B) faces
- (B) $6a^2$
- (B) $2(lb+bh+hl)$
- (B) face
- (B) square units
Section B — Short Answer (2 marks)
- $96$.
- $150$.
- $94$.
- $6a^2$.
Section C — Short Answer (3 marks)
- $216$.
- $158$.
- $248$.
- $3$ cm.
Section D — Long Answer (5 marks)
- $392$ cm$^2$.
- TSA $294$ cm$^2$; one face $49$ cm$^2$.
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