Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The base of a right prism is an equilateral triangle whose side is 20 cm.  If the height of this prism is 20\(\sqrt {3}\) cm, then what is the total surface area of prism?

Options:

700\(\sqrt {3}\) cm2

750\(\sqrt {3}\) cm2

1400\(\sqrt {3}\) cm2

1200\(\sqrt {3}\) cm2

Correct Answer:

1400\(\sqrt {3}\) cm2

Explanation:

Total surface area of prism = CSA + 2 × base area

= Base perimeter × Height + 2 × Base Area

= 60 × 20\(\sqrt {3}\) + 2 × \(\frac{\sqrt {3}}{4}\) × 20 × 20

= 1200\(\sqrt {3}\) + 200\(\sqrt {3}\) = 1400\(\sqrt {3}\) cm2