Question

Case Study Based- 3

A polyhedron with two polygonal bases parallel to each other is a prism.

In optics, the prism is the transparent optical element with flat polished

surfaces that refract light. The two polygonal bases are joined by lateral

faces. The lateral faces are mostly rectangle. It may be parallelogram in

some cases.

Triangular Prism: A prism that has 3 rectangular

faces and 2 parallel triangular bases, then it is a

triangular prism.

Where,

a – Apothem length of the triangular prism

b – Base length of the triangular prism

h – Height of the triangular prism

(a) What is the ratio of the areas of two bases (triangles)

(i) 1:1

(ii) 1:2

(iii) 2:1

(iv) 2:3

(b) What is the ratio between the base area and total surface area of this

prism?

(i) 1/2

(ii) 1/3

(iii) 2/3

(iv) 1/4(c) If the base is a pentagon , then what is the name of the solid?

(i) Square pyramid

(ii) Pentagonal pyramid

(iii)Pentagonal prism

(iv)Square prism

(d) (v)If each of the lengths of the triangular prism is increased by 10%,

then what is the total percentage of increase in total surface area?

(i)5%

(ii) 20%

(iii)15%

(iv)10%

(e) The cube is an example of

(i)triangular pyramid

(ii) triangular prism

(iii) Square prism

(iv) Square pyramid​

Answer 1

Step-by-step explanation:

(a) - 1:1

(b) - 1/3

(c) - pentagonal prism

(d) - 10%

(e) - square prism