Question

2. Base of a right prism is an equilateral triangle of side 6 cm. If the volume of prism is 108 cu cm, then its height is

Answer 1

Give:-. side = 6cm

Volume of prism = 108 cm ^ 3

Area of base = √3/4 * 6 *6

Area of base =. 9√3. cm^2.

Now,. Volume of prism = Area of base * height.

108. = 9√3 * h

h. =. 108 / 9√3

now, we rationalize 9√3

h =. 108 / 9√3 * 9√3/ 9√3

h= 972√3 / 243

h = 4 * 1.732

h = 6.928. cm.