Power of the pyramid

Geometry Level 1

Given a square pyramid with a base of 7x7 and a height of 13, what is the area of each lateral face?

45.5 45 47.12 63.8

Gabriel Tyson by Gabriel Tyson , 19, USA

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1 solution

Marta Reece
Mar 22, 2018

Height of the triangle making up the side is 1 3 2 + 3. 5 2 = 13.463 \sqrt{13^2+3.5^2}=13.463

Area of the side is A = 1 2 ⋅ 7 ⋅ 13.463 = 47.12 A=\frac12 \cdot7\cdot13.463=\boxed{47.12}

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