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Vidaara.orgClass 5 · Mathematics
CodeVID-M05-05-CCU-01
Counting Cubic Units - Assignment
Chapter: Volume
Topic: Counting Cubic Units in Irregular 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.
When counting an irregular solid, hidden cubes:
  • A.are ignored
  • B.count too
  • C.count as half
  • D.count twice
2.
A solid with layers of $9$, $4$ and $1$ cubes has volume:
  • A.$13$
  • B.$14$
  • C.$36$
  • D.$9$
3.
In the height-grid method you add all the:
  • A.rows
  • B.column heights
  • C.edges
  • D.faces
4.
Volume of an irregular solid is measured in:
  • A.units
  • B.square units
  • C.cubic units
  • D.degrees
5.
Two boxes of $8$ and $6$ cubes joined have volume:
  • A.$2$
  • B.$14$
  • C.$48$
  • D.$24$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Layers have $10$, $6$ and $2$ cubes. Find the total.
7.
Column heights are $3, 2, 1, 1$. Find the total cubes.
8.
A bottom layer is $4\times3$ cubes. How many cubes is that?
9.
Two boxes of $8$ and $5$ cubes are joined. Find the total.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A height grid has rows $[2,1,1]$, $[1,1,1]$, $[1,1,1]$. Find the volume.
11.
A solid has $15$ cubes (bottom), $8$ (middle) and $3$ (top). Find the volume.
12.
An L-solid is box A $2\times2\times2$ plus box B $3\times1\times2$. Find the total volume.
13.
A staircase has $6$, $4$ and $1$ cubes in its steps. Find the total.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
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.
15.
A height grid shows columns of heights $[3,2,1]$, $[2,1,0]$, $[1,0,0]$. Find the total cubes and state which column is tallest.

Answer Key

Section A — Multiple Choice Questions
  1. (B) count too
  2. (B) $14$
  3. (B) column heights
  4. (C) cubic units
  5. (B) $14$
Section B — Short Answer (2 marks)
  1. $18$.
  2. $7$.
  3. $12$.
  4. $13$.
Section C — Short Answer (3 marks)
  1. $10$ cubic units.
  2. $26$ cubic units.
  3. $14$ cubic units.
  4. $11$ cubic units.
Section D — Long Answer (5 marks)
  1. $18 + 2 = 20$ cubes (check: layers $9+9+2=20$).
  2. $10$ cubes; the top-left column ($3$) is tallest.
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