# All edges of asquare pyramid are equal.heidht of pyramid is 8root2.find length of base edge and lateral surface area?

1
by rahithasunil

Log in to add a comment

by rahithasunil

Log in to add a comment

The Brainliest Answer!

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Let each edge of the square pyramid be = a units.

The diagonal on the square base = a√2 units

Half diagonal = a / √2 units

One lateral edge, half diagonal and the altitude (height) are in a right angle triangle.

a² = (a/√2)² + (8√2)²

a²/2 = 128

a = 16 units.

Each of the four lateral surfaces are all equilateral triangles.

So area of one face = 1/2 * √3/2 a * a = √3/4 * 256 = 110.85 square units.

Total lateral surface area = 443.40 sq units

The diagonal on the square base = a√2 units

Half diagonal = a / √2 units

One lateral edge, half diagonal and the altitude (height) are in a right angle triangle.

a² = (a/√2)² + (8√2)²

a²/2 = 128

a = 16 units.

Each of the four lateral surfaces are all equilateral triangles.

So area of one face = 1/2 * √3/2 a * a = √3/4 * 256 = 110.85 square units.

Total lateral surface area = 443.40 sq units