Question

1. The base of wooden prisms is regular hexagon . Its base perimeter is 30cm and height is 15cm . a) What is the lateral surface area of the prism? b) If it is divided in to equal equilateral triangular prisms, what will be the lateral surface area ?

Answer 1

Answer:

Given: a=4cm and h=8cm; to find L.S.A and T.S.A

We know L.S.A=Ph=3×a×h=3×4×8=96cm

2

.

Further T.S.A=2B+Ph=2(

4

a

2

)+3ah=

2

3

4

2

+96≈(8×1.73)+96=109.84cm

2

.

Thus the total surface area is approximately 109.84cm

2

.