Answer :

Given: base of prism is equilateral triangle and perimeter of base “p” = 15cm^{2}

Height of prism “h” = 5cm

To find : Volume “V” of the prism = ?

Procedure :

As we know that, base of prism is equilateral triangle and its perimeter is 3× side of triangle

⇒ p = 3× side

⇒ 15 = 3× side

∴ side of the triangular base of the prism = = 5cm

Now, area of the equilateral triangular base of the prism,

“a” = × side^{2}

= ×5^{2}

= ×25

⇒ a = 10.83cm^{2}

As we know that, Volume of the prism = height × area of base

∴ V = h × a

= 5 × 10.83

= 54.15cm^{3}

∴ Volume of the given prism is 54.15cm^{3}.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Smart Revision | Quiz on Combinations of Solids44 mins

Smart Revision | Surface Areas and Volume of Solids31 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

<span lang="EN-USKerala Board Mathematics Part-2

A hollow prism ofKerala Board Mathematics Part-2

A hexagonal hole Kerala Board Mathematics Part-2