Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a pyramid has a square base with sides 8\ and a slant height of 5\. tot…

Question

a pyramid has a square base with sides 8\ and a slant height of 5\.
total area =
224 square units
144 square units
200 square units

Explanation:

Step1: Calculate base area

Base area = side² = $8^2 = 64$ square units

Step2: Calculate lateral area

Area of one triangular face = $\frac{1}{2}×side×slant\ height = \frac{1}{2}×8×5 = 20$; 4 faces: $4×20 = 80$ square units

Step3: Sum base and lateral areas

Total area = $64 + 80 = 144$ square units

Answer:

B. 144 square units