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Vidaara.orgClass 5 · Mathematics
CodeVID-M5-00-CT
Volume — Full Chapter Test
Chapter: 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 is measured in:
  • A.units
  • B.square units
  • C.cubic units
  • D.degrees
2.
When counting an irregular solid, hidden cubes:
  • A.are ignored
  • B.count too
  • C.count as half
  • D.count twice
3.
To find a missing height, compute:
  • A.$V\times l\times w$
  • B.$V\div(l\times w)$
  • C.$l\times w$
  • D.$V+l+w$
4.
The volume of a rectangular prism is:
  • A.$l+w+h$
  • B.$l\times w\times h$
  • C.$2(lw+wh+hl)$
  • D.$l\times w$
5.
A solid with layers of $9$, $4$ and $1$ cubes has volume:
  • A.$13$
  • B.$14$
  • C.$36$
  • D.$9$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the volume of a prism with $l=5$, $w=3$, $h=2$.
7.
Layers have $10$, $6$ and $2$ cubes. Find the total.
8.
A prism has $V=120$, $l=5$, $w=4$. Find $h$.
9.
Find the volume of a cube of edge $4$ cm.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the volume of a rectangular prism $8$ cm $\times$ $6$ cm $\times$ $5$ cm.
11.
A height grid has rows $[2,1,1]$, $[1,1,1]$, $[1,1,1]$. Find the volume.
12.
A rectangular prism has volume $240$ cm$^3$, length $10$ cm and width $6$ cm. Find the height.
13.
A box has volume $60$ cm$^3$, length $5$ cm and width $3$ cm. Find its height.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A fish tank is $40$ cm long, $25$ cm wide and $30$ cm high. Find its volume in cm$^3$, then in litres ($1$ L $=1000$ cm$^3$).
15.
A solid is a $3\times3\times2$ block with an extra $2\times1\times1$ row of cubes on top. Find the total number of unit cubes, using two different methods to check.

Answer Key

Section A — Multiple Choice Questions
  1. (C) cubic units
  2. (B) count too
  3. (B) $V\div(l\times w)$
  4. (B) $l\times w\times h$
  5. (B) $14$
Section B — Short Answer (2 marks)
  1. $30$ cm$^3$.
  2. $18$.
  3. $6$.
  4. $64$ cm$^3$.
Section C — Short Answer (3 marks)
  1. $240$ cm$^3$.
  2. $10$ cubic units.
  3. $4$ cm.
  4. $4$ cm.
Section D — Long Answer (5 marks)
  1. $30000$ cm$^3$ $=30$ litres.
  2. $18 + 2 = 20$ cubes (check: layers $9+9+2=20$).
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