Question

What is the slant height of a square pyramid that has a surface area of 189 square feet and a side length of 7 feet?

Answer 1

Answer: The slant height of a square pyramid is 10 feet.

Step-by-step explanation:

Since we have given that

Surface area of square pyramid = 189 square feet

Length of side of square = 7 feet

Area of base will be given by

$Side\times Side=Side^2=7^2=49\ ft^2$

Let 'l' be the slant height of the square pyramid.

As we know that "Formula for surface area of square pyramid" is given by

$\text{Surface area}=\text{Area of base}+\frac{1}{2}\times \text{Perimeter of square}\times l\\\\189=7^2+\frac{1}{2}\times 4\times 7\times l\\\\189=49+14l\\\\189-49=14l\\\\140=14l\\\\\frac{140}{14}=l\\\\10\ feet=l$

Hence, the slant height of a square pyramid is 10 feet.

Answer 2

10..............................