Question

Find the total area of the regular pyramid.

Answer 1

check the picture below.

notice, the base of the "square" pyramid, is a square, and it has 4 triangular faces with a base of 2, and a height of √(10).

so the total surface area is the area of the base plus all 4 triangular faces' areas.


`\bf \stackrel{\textit{squarish base}}{(2\cdot 2)}~~~~+~~~~\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(2)(√(10)) \right]}`

Answer 2

Area of the regular pyramid = 16.64 square units.

Explanation:

Given : Regular pyramid .

To find: Find the total area of the regular pyramid.

Solution : We have given that regular pyramid.

Area = 4 ( area of triangle ) + area of base .

Area of the regular pyramid = 4 (
`(1)/(2) * base * height + side * side`.

Area of the regular pyramid =
`4((1)/(2)* 2* √(10)  + 2*2`

Area of the regular pyramid =
`4( √(10) ) + 4`

Area of the regular pyramid = (4
`( √(10) ) \+\ 1`.

Area of the regular pyramid = 16.64 square units.

Therefore, Area of the regular pyramid = 16.64 square units.