Question

A tent is in the shape of a hexagonal pyramid. Find the lateral surface area of the tent.

• A. 3500 sq in
• B. 2500 sq in
• C. 4500 sq in
• D. 4000 sq in

Answer 1

The correct option is C 4500 sq in

The given pyramid contains 6 lateral faces.

Each face is a triangle.

Lateral surface area = 6 $\times$ Area of triangular face

= 6 $\times$ $\frac{1}{2}$ $\times$ base $\times$ height



Area of one trianglular face = $\frac{1}{2}$ $\times$ base $\times$ height

Base of the triangle = 25 in

Height of the triangle = 60 in

Area of a triangle = $\frac{1}{2}$ $\times$ 25 $\times$ 60

= 750 sq in



Area of 6 triangles = 6 $\times$ 750

= 4500 sq in

Hence, the lateral surface area of the tent = 4500 sq in