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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-13-3DS-01
Surface Areas & Volumes of Basic Solids - Assignment
Chapter: Surface Areas and Volumes
Topic: Surface Areas and Volumes of Basic 3D Shapes
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.$3a^2$
  • D.$a^2$
2.
Surface area of a sphere:
  • A.$4\pi r^2$
  • B.$2\pi r^2$
  • C.$\pi r^2$
  • D.$\tfrac43\pi r^3$
3.
Volume of a cylinder:
  • A.$2\pi r h$
  • B.$\pi r^2 h$
  • C.$\tfrac13\pi r^2 h$
  • D.$\pi r^2$
4.
Volume of a cone:
  • A.$\pi r^2 h$
  • B.$\tfrac13\pi r^2 h$
  • C.$\tfrac43\pi r^3$
  • D.$\pi r l$
5.
Total surface area of a cuboid:
  • A.$lbh$
  • B.$2(lb+bh+hl)$
  • C.$6a^2$
  • D.$4\pi r^2$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the volume of a cube of edge $5$ cm.
7.
Find the volume of a cylinder, $r=7$, $h=10$ (use $\pi=\tfrac{22}{7}$).
8.
Find the surface area of a sphere of radius $7$ ($\pi=\tfrac{22}{7}$).
9.
Find the volume of a cone, $r=3$, $h=7$ ($\pi=\tfrac{22}{7}$).
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the total surface area of a cuboid $8\times6\times5$.
11.
Find the volume of a sphere of radius $21$ cm ($\pi=\tfrac{22}{7}$).
12.
Find the curved surface area of a cylinder, $r=7$, $h=20$ ($\pi=\tfrac{22}{7}$).
13.
The volume of a cube is $343$ cm$^3$. Find its edge and surface area.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A cylindrical tank has radius $7$ m and height $10$ m. Find its volume and curved surface area ($\pi=\tfrac{22}{7}$).
15.
Find the volume and surface area of a sphere of radius $21$ cm ($\pi=\tfrac{22}{7}$).

Answer Key

Section A — Multiple Choice Questions
  1. (B) $a^3$
  2. (A) $4\pi r^2$
  3. (B) $\pi r^2 h$
  4. (B) $\tfrac13\pi r^2 h$
  5. (B) $2(lb+bh+hl)$
Section B — Short Answer (2 marks)
  1. $125$ cm$^3$.
  2. $1540$ cm$^3$.
  3. $616$ cm$^2$.
  4. $66$ cm$^3$.
Section C — Short Answer (3 marks)
  1. $236$ cm$^2$.
  2. $38808$ cm$^3$.
  3. $880$ cm$^2$.
  4. Edge $7$ cm; surface area $294$ cm$^2$.
Section D — Long Answer (5 marks)
  1. Volume $1540$ m$^3$; CSA $440$ m$^2$.
  2. Volume $38808$ cm$^3$; surface area $5544$ cm$^2$.
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