Answer:
[tex]768\ cm^{2}[/tex]
Step-by-step explanation:
Here is the correct question: The pyramid shown has a square base that is 24 centimeters on each side. The slant height is 16 centimeters. What is the lateral surface area?
Given: Side of sqaure base = 24 cm
Slant height= 16 cm
Now, we have to compute to know lateral surface area of Pyramid with square base.
Formula, lateral surface area of pyramid= [tex]4(\frac{1}{2} \times b\times h)[/tex]
we know, side of sqaure base (b) is 24 cm and slant height (h) is 16 cm.
lateral surface area of pyramid= [tex]4\times (\frac{1}{2} \times 24\times 16)[/tex]
⇒lateral surface area of pyramid= [tex]4\times (192)[/tex]
Opening parenthesis.
∴lateral surface area of pyramid= [tex]768\ cm^{2}[/tex]
