Question

the area of the rectangular face of a uniform triangular prism is 60 cm2 and the perimeter of the triangular faces is 18cm. what is the volume of prism in cm3 ?​

Answer 1

Answer:

90$\sqrt{3}$ cm³ [ HOPE IT HELPS]

Step-by-step explanation:

Perimeter of triangular face= 18

=> Each side of triangular face is = 18/3= 6

In a prism, the breadth of rectangular face is also the side length of the triangular side. Thus,

Area of rectangular face= 60cm²= l×b

=> length =60/6= 10 cm= Height of prism

Volume of triangular prism= = Area of one Triangular face x Height of the prism = $\sqrt{s(s-a)^3$×10cm³

=>$\sqrt{9(9-6)^3}$×10 cm³

=>90$\sqrt{3}$ cm³