Vidaara.orgClass 9 · Mathematics
CodeVID-M09-24-CUB-01
Cube & Cuboid - 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.
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.$lbh$
- 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.
Diagonal of a cube of edge $a$:
- A.$a\sqrt2$
- B.$a\sqrt3$
- C.$3a$
- D.$2a$
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.
Find the surface area of a cuboid $5\times4\times3$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the volume and surface area of a cube of edge $7$ cm.
11.
Find the volume of a cuboid $12\times8\times5$.
12.
The volume of a cube is $216$ cm$^3$. Find its edge and surface area.
13.
Find the surface area of a cuboid $10\times6\times4$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
A cuboidal water tank is $3$ m $\times$ $2$ m $\times$ $1.5$ m. Find its volume in litres and the metal sheet needed (open top).
15.
The dimensions of a cuboid are in ratio $3:2:1$ and its volume is $48$ cm$^3$. Find its dimensions and total surface area.
Answer Key
Section A — Multiple Choice Questions
- (B) $a^3$
- (B) $6a^2$
- (B) $lbh$
- (B) $2(lb+bh+hl)$
- (B) $a\sqrt3$
Section B — Short Answer (2 marks)
- $64$.
- $150$.
- $60$.
- $94$.
Section C — Short Answer (3 marks)
- Volume $343$ cm$^3$; surface area $294$ cm$^2$.
- $480$.
- Edge $6$ cm; surface area $216$ cm$^2$.
- $248$.
Section D — Long Answer (5 marks)
- Volume $9000$ L; sheet $21$ m$^2$.
- $6,4,2$ cm; surface area $88$ cm$^2$.
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