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A pyramid has a square base of side 25 cm and the slant height of each triangular face is 18 cm. What is the surface area of the pyramid?
A. 1 025 cm²
B. 1 155 cm²
C. 1 255 cm²
D. 1 525 cm²

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Sagot :

Answer:

D. 1 525 cm²

Explanation:

Surface area of the pyramid:

[tex] = a + \frac{1}{2} \: ps[/tex]

[tex] = {(25)}^{2} + \frac{1}{2} \times 25 \times 4 \times 18[/tex]

[tex] = 625 + 50 \times 18[/tex]

[tex] = 625 + 900 = {1525 \: cm.}^{2} [/tex]

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