10 Views

Question : The base of a right prism is a triangle with sides 16 cm, 30 cm, and 34 cm. Its height is 32 cm. The lateral surface area (in cm2 ) and the volume (in cm3 ) are, respectively:

Option 1: 2560 and 7680

Option 2: 2688 and 7680

Option 3: 2624 and 7040

Option 4: 2560 and 6400


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 2560 and 7680


Solution : Here, (34) 2 = (16) 2 + (30) 2
⇒ 1156 = 256 + 900
So, 16, 30, and 34 are the sides of a right-angled triangle.
⇒ Volume of Prism = Area of base × height
= $\frac{1}{2}$ × 16 × 30 × 32 cm 3
= (8 × 30 × 32) cm 3
= 7680 cm 3
Now, lateral surface area of the prism = perimeter of base × height = (16 + 30 + 34) × 32 cm 2 =  2560 cm 2
Hence, the correct answer is 2560 and 7680.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books