Question

A particular medicine needs to be covered with an aluminum foil of the given dimensions. If the total area of the hexagonal pyramid = 294 sq cm and the area of the hexagonal base = 168 sq cm, find the area of one triangle.

• A. 64 sq cm
• B. 21 sq cm
• C. 26 sq cm
• D. 32 sq cm

Answer 1

The correct option is B 21 sq cm

The given figure is a hexagonal pyramid.

It contains one hexagonal base and 6 triangular faces.

Total surface area = Base area + 6 $\times$ area of one triangular face

294 = 168 + 6 $\times$ area of one triangular face

6 $\times$ area of one triangular face = 294 - 168 = 126

Area of one trianglular face = $\frac{126}{6}$ = 21 sq cm

Hence, area of one triangular face = 21 sq cm.