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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-16-CUB-01
Cubes, Cuboids & Nets - Assignment
Chapter: Surface Area & Volume
Topic: Cubes, Cuboids, and Their Nets
Maximum Marks: 35
Time: 75 minutes
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.
Volume of a cube of edge $a$:
  • A.$6a^2$
  • B.$a^3$
  • C.$3a$
  • D.$a^2$
2.
Surface area of a cube:
  • A.$a^3$
  • B.$6a^2$
  • C.$4a^2$
  • D.$a^2$
3.
Volume of a cuboid:
  • A.$2(lb+bh+hl)$
  • B.$l\times b\times h$
  • C.$l+b+h$
  • D.$6lbh$
4.
Surface area of a cuboid:
  • A.$lbh$
  • B.$2(lb+bh+hl)$
  • C.$6a^2$
  • D.$4lbh$
5.
A net of a cube has how many faces?
  • A.$4$
  • B.$5$
  • C.$6$
  • D.$8$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the volume of a cube of edge $4$.
7.
Find the surface area of a cube of edge $5$.
8.
Find the volume of a cuboid $5\times4\times3$.
9.
How many faces does a cube have?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the volume and surface area of a cube of edge $6$.
11.
Find the volume of a cuboid $10\times6\times4$.
12.
Find the surface area of a cuboid $8\times5\times3$.
13.
The volume of a cube is $125$ cm$^3$. Find its edge.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A cuboidal box is $12$ cm $\times$ $8$ cm $\times$ $5$ cm. Find its volume and total surface area.
15.
A cube has surface area $150$ cm$^2$. Find its edge and volume.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $a^3$
  2. (B) $6a^2$
  3. (B) $l\times b\times h$
  4. (B) $2(lb+bh+hl)$
  5. (C) $6$
Section B — Short Answer (2 marks)
  1. $64$.
  2. $150$.
  3. $60$.
  4. $6$.
Section C — Short Answer (3 marks)
  1. Volume $216$; surface area $216$.
  2. $240$.
  3. $158$.
  4. $5$ cm.
Section D — Long Answer (5 marks)
  1. Volume $480$ cm$^3$; surface area $392$ cm$^2$.
  2. Edge $5$ cm; volume $125$ cm$^3$.
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