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Vidaara.orgClass 5 · Mathematics
CodeVID-M05-05-VWP-01
Volume Word Problems - Assignment
Chapter: Volume
Topic: Volume Word Problems with Missing Dimensions
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.
To find a missing height, compute:
  • A.$V\times l\times w$
  • B.$V\div(l\times w)$
  • C.$l\times w$
  • D.$V+l+w$
2.
A prism has $V=240$, $l=10$, $w=6$. Its height is:
  • A.$3$
  • B.$4$
  • C.$6$
  • D.$24$
3.
$1$ litre equals:
  • A.$100$ cm$^3$
  • B.$1000$ cm$^3$
  • C.$10$ cm$^3$
  • D.$10000$ cm$^3$
4.
To compare two solids, you first find their:
  • A.perimeters
  • B.volumes
  • C.areas
  • D.edges
5.
The missing dimension equals the volume divided by the product of the:
  • A.three sides
  • B.two known dimensions
  • C.base perimeter
  • D.height only
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
A prism has $V=120$, $l=5$, $w=4$. Find $h$.
7.
A container is $20\times10\times5$ m. Find its volume.
8.
Convert $3$ litres to cm$^3$.
9.
Box A $=2\times3\times5$, Box B $=4\times2\times3$. Which is bigger?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A rectangular prism has volume $240$ cm$^3$, length $10$ cm and width $6$ cm. Find the height.
11.
A pool is $20$ m by $10$ m with water volume $600$ m$^3$. Find its depth.
12.
Box A is $8\times5\times4$ and Box B is $6\times6\times5$. Which has the greater volume?
13.
How many $2$-cm cubes fit in a box $8$ cm $\times$ $6$ cm $\times$ $4$ cm?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A water tank measures $50$ cm $\times$ $40$ cm $\times$ $30$ cm. Find its volume in cm$^3$, convert to litres, and find the new water height if only $36$ litres are poured in.
15.
A carton has volume $1.5$ litres and a square base of side $10$ cm. Find its height in cm, then state how many such cartons fill a crate of volume $30$ litres.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $V\div(l\times w)$
  2. (B) $4$
  3. (B) $1000$ cm$^3$
  4. (B) volumes
  5. (B) two known dimensions
Section B — Short Answer (2 marks)
  1. $6$.
  2. $1000$ m$^3$.
  3. $3000$ cm$^3$.
  4. Equal ($30=30$)... Box A $30$, Box B $24$, so Box A.
Section C — Short Answer (3 marks)
  1. $4$ cm.
  2. $3$ m.
  3. Box B ($180>160$).
  4. $24$ cubes.
Section D — Long Answer (5 marks)
  1. Volume $60000$ cm$^3=60$ L; with $36$ L ($36000$ cm$^3$): height $=36000\div(50\times40)=18$ cm.
  2. $1.5$ L $=1500$ cm$^3$; height $=1500\div100=15$ cm; $30\div1.5=20$ cartons.
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