Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the squares edges are all 112 feet and the slant height is 90.4 feet. w…

Question

the squares edges are all 112 feet and the slant height is 90.4 feet. what is the surface area of this square pyramid? square feet how much surface area would be covered by glass? square feet

Explanation:

Step1: Calculate base area

$\text{Base Area} = 112 \times 112 = 12544$ square feet

Step2: Calculate one triangular face area

$\text{Single Face Area} = \frac{1}{2} \times 112 \times 90.4 = 5062.4$ square feet

Step3: Calculate total lateral area

$\text{Total Lateral Area} = 4 \times 5062.4 = 20249.6$ square feet

Step4: Calculate total surface area

$\text{Total Surface Area} = 12544 + 20249.6 = 32793.6$ square feet

Answer:

32793.6 square feet
20249.6 square feet