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Vidaara.orgClass 5 · Mathematics
CodeVID-M05-05-VRP-01
Volume of a Rectangular Prism - Assignment
Chapter: Volume
Topic: Volume of Rectangular Prism
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 is measured in:
  • A.units
  • B.square units
  • C.cubic units
  • D.degrees
2.
The volume of a rectangular prism is:
  • A.$l+w+h$
  • B.$l\times w\times h$
  • C.$2(lw+wh+hl)$
  • D.$l\times w$
3.
The volume of a cube of edge $a$ is:
  • A.$6a$
  • B.$a^2$
  • C.$a^3$
  • D.$3a$
4.
Find the volume: $l=6$, $w=4$, $h=3$.
  • A.$13$
  • B.$24$
  • C.$72$
  • D.$36$
5.
Another formula for volume is:
  • A.base area $\times$ height
  • B.base area $+$ height
  • C.$\tfrac12$ base $\times$ height
  • D.base area only
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.
Find the volume of a cube of edge $4$ cm.
8.
A prism has base area $20$ cm$^2$ and height $6$ cm. Find its volume.
9.
A box is $10$ in $\times$ $5$ in $\times$ $4$ in. Find its volume.
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 box has volume $60$ cm$^3$, length $5$ cm and width $3$ cm. Find its height.
12.
Find the volume of a cube of edge $6$ cm.
13.
A tank is $12$ cm $\times$ $5$ cm $\times$ $4$ cm. Find its volume.
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 box has volume $336$ cm$^3$. Its length is $8$ cm and height is $6$ cm. Find its width, and check by multiplying back.

Answer Key

Section A — Multiple Choice Questions
  1. (C) cubic units
  2. (B) $l\times w\times h$
  3. (C) $a^3$
  4. (C) $72$
  5. (A) base area $\times$ height
Section B — Short Answer (2 marks)
  1. $30$ cm$^3$.
  2. $64$ cm$^3$.
  3. $120$ cm$^3$.
  4. $200$ in$^3$.
Section C — Short Answer (3 marks)
  1. $240$ cm$^3$.
  2. $4$ cm.
  3. $216$ cm$^3$.
  4. $240$ cm$^3$.
Section D — Long Answer (5 marks)
  1. $30000$ cm$^3$ $=30$ litres.
  2. Width $7$ cm (check $8\times7\times6=336$).
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