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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-16-PRS-01
Prisms & Problem Solving - Assignment
Chapter: Surface Area & Volume
Topic: Introduction to Prisms and Problem Solving
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.
A prism has the same ___ throughout its length.
  • A.colour
  • B.cross-section
  • C.vertex
  • D.edge
2.
The volume of a prism is:
  • A.base area $\times$ length
  • B.base area $+$ length
  • C.$\tfrac12$ base $\times$ length
  • D.$6a^2$
3.
A triangular prism has a ___ cross-section.
  • A.square
  • B.circular
  • C.triangular
  • D.hexagonal
4.
A cuboid is a ___ prism.
  • A.triangular
  • B.rectangular
  • C.circular
  • D.pentagonal
5.
A triangular prism has how many rectangular faces?
  • A.$2$
  • B.$3$
  • C.$4$
  • D.$5$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
The volume of a prism is base area $\times$ what?
7.
What cross-section does a triangular prism have?
8.
Is a cuboid a prism?
9.
How many rectangular faces does a triangular prism have?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A prism has base area $12$ cm$^2$ and length $10$ cm. Find its volume.
11.
A triangular prism has a base triangle of area $6$ cm$^2$ and length $9$ cm. Find its volume.
12.
A cuboid $5\times4\times3$ as a prism: base area $\times$ length $=$
13.
A prism has volume $200$ cm$^3$ and length $10$ cm. Find its base area.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A triangular prism has a right-triangle cross-section with legs $3$ cm and $4$ cm and length $12$ cm. Find its volume.
15.
A prism has a trapezium cross-section (parallel sides $6$ cm and $10$ cm, height $4$ cm) and length $15$ cm. Find its volume.

Answer Key

Section A — Multiple Choice Questions
  1. (B) cross-section
  2. (A) base area $\times$ length
  3. (C) triangular
  4. (B) rectangular
  5. (B) $3$
Section B — Short Answer (2 marks)
  1. Its length (height).
  2. A triangle.
  3. Yes.
  4. $3$.
Section C — Short Answer (3 marks)
  1. $120$ cm$^3$.
  2. $54$ cm$^3$.
  3. $60$.
  4. $20$ cm$^2$.
Section D — Long Answer (5 marks)
  1. $72$ cm$^3$.
  2. $480$ cm$^3$.
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