This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Tambua vipimo vya piramidi. Piramidi ina msingi wa mraba wenye urefu wa upande (s) wa 9 cm. Urefu mteremko (l) wa nyuso za pembeni ni 14 cm. Step 2: Kokotoa eneo la msingi. Msingi ni mraba. A_msingi = s^2 = (9 cm)^2 = 81 cm^2 Step 3: Kokotoa eneo la nyuso nne za pembeni (triangles). Kila uso wa pembeni ni pembetatu yenye msingi s = 9 cm na urefu mteremko l = 14 cm. Eneo la pembetatu moja = (1)/(2) × msingi × urefu mteremko A_pembetatu = (1)/(2) × 9 cm × 14 cm = 9 cm × 7 cm = 63 cm^2 Eneo la nyuso nne za pembeni = 4 × A_pembetatu A_pembeni = 4 × 63 cm^2 = 252 cm^2 Step 4: Kokotoa jumla ya eneo la uso la piramidi. Jumla ya eneo la uso (A_jumla) ni jumla ya eneo la msingi na eneo la nyuso nne za pembeni. A_jumla = A_msingi + A_pembeni A_jumla = 81 cm^2 + 252 cm^2 A_jumla = 333 cm^2 333 cm^2 3 done, 2 left today. You're making progress.