Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The base edge of a regular pentagonal prism is 6 cm and its bases are 12 cm apart.

Find its volume in cubic centimeter.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

743.22

{cm}^{3}

786.89

{cm}^{3}

567.45

{cm}^{3}

842.12

{cm}^{3}

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given measurements of a regular pentagonal prism
The base edge

(a)

= 6 cm
The height of the prism

(h)

= 12 cm
Volume of regular pentagonal prism = x (say)
According to the given value we have
Using the area of regular pentagon,

= \frac{1}{4} \sqrt{5 (5 + 2 \sqrt{5})} a^{2}

Substitute the value in this formula we obtain,

= \frac{1}{4} \sqrt{5 (5 + 2 \sqrt{5})} 6^{2}

= \frac{1}{4} \sqrt{25 + 10 \sqrt{5}} \times 36

= 9 \sqrt{47.36}

= 61.9367

Now we calculated the volume of prism,
Volume of prism = Base area x height

= 61.9367 \times 12

= 743.22 {cm}^{3}

Correct option is 1.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!