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

Answer:

8.3 in²

Step-by-step 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:

$A=\dfrac{b\cdot h}{2}$

b - base

h - height

Substitute:

$A_1=\dfrac{(2)(2.2)}{2}=\dfrac{4.4}{2}=2.2\ in^2$

$A_2=\dfrac{(2)(1.7)}{2}=1.7\ in^2$

$S.A.=3A_1+A_2$

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