2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3. The surface area of the smaller pyramid is 124 m^2. Determine each of the following, showing all your work and reasoning: find the surface area of the larger pyramid
Accepted Solution
A:
Volume of square pyramid = a²h / 3
Surface area of square pyramid = a² +2a √((a²/4) + h²)
a = base edge h = height
for the large pyramid; volume = 648 m³ height = 24 m
Volume = a²h / 3 648 m³ = a² x 24 m / 3 a² = 81 m² a = 9 m
by applying surface area equation to the large pyramid, surface area = a² +2a √((a²/4) + h²) = 9² + 2 x 9 √((9² / 4 ) + 24² = 520.53 m²