Question

A paperweight is shaped like a triangular pyramid. The base is an equilateral triangle. Find the surface area of the paperweight. Thanks soooo much!

Answer 1

8.3 in²

Explanation:

We have

three triangles with the base b = 2 in. and the height h₁ = 2.2 in.

one triangle with the base b = 2 in. and the height h₂ = 1.7 in.

The formula of an area of a triangle:

`A=(b\cdot h)/(2)`

b - base

h - height

Substitute:

`A_1=((2)(2.2))/(2)=(4.4)/(2)=2.2\ in^2`

`A_2=((2)(1.7))/(2)=1.7\ in^2`

`S.A.=3A_1+A_2`

`S.A.=3(2.2)+1.7=6.6+1.7=8.3\ in^2`