Question

Help!!! Find the lateral surface area of
the following square pyramid:

Answer 1

Answer: 48

Step-by-step explanation: 4*6/2, and the multiply by 4 for all of the sides

Answer 2

Given:

A square base pyramid with base length 6 cm and the slant height is 4 cm.

To find:

The lateral surface area of the given square pyramid.

Solution:

The lateral surface area of the given square pyramid is equal to the areas of 4 congruent triangles with base 6 cm and height 4 cm.

Area of a triangle is:

`Area=(1)/(2)* base* height`

So, the area of one triangle or one side of the given pyramid is:

`A_1=(1)/(2)* 6* 4`

`A_1=(24)/(2)`

`A_1=12`

Now, the lateral surface area of the given square pyramid is 4 times the area of one triangle.

`LA=4A_1`

`LA=4(12)`

`LA=48`

Therefore, the lateral surface area of the given square pyramid is 48 cm².