Question

Which of the following represent(s) the total Surface area of a square pyramid?

• A. Base area + Lateral Surface area
• B. ${\text{(Base Edge)}}^2+\frac{1}{2}\times \text{base edge}\times \text{slant height}$
• C. $\frac{1}{2}\times \text{base edge}\times \text{slant height}$
• D. ${\text{(Base Edge)}}^2+4\times (\frac{1}{2}\times \text{base edge}\times \text{slant height})$

Answer 1

Answer: (A), (D)

The correct options are
A

Base area + Lateral Surface area

D

${\text{(Base Edge)}}^2+4\times (\frac{1}{2}\times \text{base edge}\times \text{slant height})$

Total Surface area of a square pyramid
= Area of the base + Lateral Surface area

= Area of square base + Area of four lateral triangles

$={\text{(Base Edge)}}^2+4\times (\frac{1}{2}\times \text{base edge}\times \text{slant height})$