← Back to chapter
Vidaara.orgClass 8 · Mathematics
CodeVID-M8-16-CT
Surface Area & Volume — Full Chapter Test
Chapter: Surface Area & Volume
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.
Volume of a cube of edge $a$:
  • A.$6a^2$
  • B.$a^3$
  • C.$3a$
  • D.$a^2$
2.
Volume of a cylinder:
  • A.$2\pi r h$
  • B.$\pi r^2 h$
  • C.$\tfrac13\pi r^2 h$
  • D.$\pi r^2$
3.
A prism has the same ___ throughout its length.
  • A.colour
  • B.cross-section
  • C.vertex
  • D.edge
4.
Surface area of a cube:
  • A.$a^3$
  • B.$6a^2$
  • C.$4a^2$
  • D.$a^2$
5.
CSA of a cylinder:
  • A.$\pi r^2$
  • B.$2\pi r h$
  • C.$\pi r l$
  • D.$2\pi r^2$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the volume of a cube of edge $4$.
7.
Find the volume of a cylinder $r=7$, $h=10$ ($\pi=\tfrac{22}{7}$).
8.
The volume of a prism is base area $\times$ what?
9.
Find the surface area of a cube of edge $5$.
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 cylinder $r=14$, $h=10$ ($\pi=\tfrac{22}{7}$).
12.
A prism has base area $12$ cm$^2$ and length $10$ cm. Find its volume.
13.
Find the volume of a cuboid $10\times6\times4$.
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 cylindrical tank has radius $7$ m and height $5$ m. Find its volume and curved surface area ($\pi=\tfrac{22}{7}$).

Answer Key

Section A — Multiple Choice Questions
  1. (B) $a^3$
  2. (B) $\pi r^2 h$
  3. (B) cross-section
  4. (B) $6a^2$
  5. (B) $2\pi r h$
Section B — Short Answer (2 marks)
  1. $64$.
  2. $1540$.
  3. Its length (height).
  4. $150$.
Section C — Short Answer (3 marks)
  1. Volume $216$; surface area $216$.
  2. $6160$.
  3. $120$ cm$^3$.
  4. $240$.
Section D — Long Answer (5 marks)
  1. Volume $480$ cm$^3$; surface area $392$ cm$^2$.
  2. Volume $770$ m$^3$; CSA $220$ m$^2$.
Generated by Vidaara.org · Assignment VID-M8-16-CT · vidaara.org