SSC CGL 2020 PYQ — Question 50

SSC CGL Tier II - Quant - 16 Nov 2020 • Quantitative Aptitude • Q50

The base of a solid right prism of height 10 cm is a square and its volume is 160 cm3. What is its total surface area of the prism (in cm2)?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 192

TSA of prism = CSA of prism + 2 × area of the base.

The volume of the prism = area of base × height.

160 = area of the base × 10 

Area of the base = 160/10 = 16.

Side of the square = 16\sqrt{16} = 4.

CSA of prism = Perimeter of base × height

= 16 × 10 = 160.

TSA = 160 + 2 × 16

= 160 + 32 = 192 cm2.