SATHEE: Quantitative Aptitude Ques 378

Quantitative Aptitude Ques 378

Question: Base of a prism of height 10 cm is square. Total surface area of the prism is $ 192,cm^{2}. $ The volume of the prism is

Options:

A) $ 640,cm^{3} $

B) $ 160,cm^{3} $

C) $ 90,cm^{3} $

D) $ 120,cm^{3} $

Show Answer

Answer:

Correct Answer: B

Solution:

Height of prism = 10 cm Let the side of square be a cm, Total surface area of prism $ =192,cm^{2} $ Now, Perimeter of base $ \times $ Height + 2 $ \times $ Area of base = 192

$ \Rightarrow $ $ 4a\times 10+2\times a^{2}=192 $

$ \Rightarrow $ $ 40a+2a^{2}=192 $

$ \Rightarrow $ $ 2a^{2}+40a-192=0 $

$ \Rightarrow $ $ a^{2}+20a-96=0 $

$ \Rightarrow $ $ a^{2}+24a-4a-96=0 $

$ \Rightarrow $ $ a,(a+24)-4,(a+24)=0 $

$ \Rightarrow $ $ (a-4)(a+24)=0 $

$ \therefore $ $ a=4cm^{2} $

$ \therefore $ Volume of prism = Area of base $ \times $ Height $ =4\times 4\times 10=160,cm^{3} $

Quantitative Aptitude Ques 377

Quantitative Aptitude Ques 379

Bank Preparation

IBPS Office Assistants

IBPS RRB Officers

Bank Courses

Recorded Course for English

Recorded Course for Reasoning

Recorded Course for Mathematics

NCERT Books

Important Resources

Banking Awareness

Financial Awareness

Forum

BETA

© 2025 Copyright SATHEE

Privacy Policy

Powered by Prutor@IITK

sathee@iitk.ac.in

Media coverage of SATHEE

Play Store

App Store

The Ministry of Education has launched the SATHEE initiative in association with IIT Kanpur to provide free guidance for competitive exams. SATHEE offers a range of resources, including reference video lectures, mock tests, and other resources to support your preparation. Please note that participation in the SATHEE program does not guarantee clearing any exam or admission to any institute.