The cross-section of a solid prism is a right-angled triangle with sides 3 cm, 4 cm and 5 cm. The prism is 10 cm long. Calculate the total surface area of t...

Assessment: Mathematics 0580 | Paper 1 Mock 01 | Non-calculator (Core) Subject: Mathematics - 0580

Question 1 Report

The cross-section of a solid prism is a right-angled triangle with sides 3 cm, 4 cm and 5 cm. The prism is 10 cm long.

Calculate the total surface area of the prism.

Answer Details

The total surface area of a prism is the two triangular end faces plus the rectangular side faces, whose combined area equals the triangle's perimeter multiplied by the prism's length.

Area of one triangle \(=\frac{1}{2}\times3\times4=6\) cm\(^2\) [M1].

Perimeter of triangle \(=3+4+5=12\) cm [M1].

Total surface area \(=2\times6+12\times10\) [M1]

\(=132\) cm\(^2\) [A1].

Download The App On Google Playstore

Everything you need to excel in your exams

Green Bridge CBT Mobile App
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning