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

Help!!! Find the lateral surface area of the following square pyramid:-example-1

2 Answers

3 votes

Answer: 48

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

User Ben Bates
by
8.1k points
3 votes

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.

User Lesmana
by
8.8k points

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