Answer:
0.6625 in²
Step-by-step explanation:
The surface area of this figure will be the area of the base added to area of the triangles
Area of the 4 triangles
Area of a triangle is given by ;
[tex]A=\frac{1}{2} *b*h[/tex]
where b is the base length and h is the height of the triangle
Area of 1 triangle
Given base length as 0.25 inches and height is 1.2 inches.
[tex]A=\frac{1}{2} *0.25*1.2=0.15\\[/tex]
Area of all 4 triangles
- multiply the area of one triangle by 4
- 0.15*4=0.6 in²
Area of the base
The base is a square of length 0.25 inches
Area of a square=length×length
[tex]A=l*l\\A=0.25*0.25=0.0625in^{2}[/tex]
Total surface area
Total surface area= Area of the triangles + Area of the base
[tex]=0.6+0.0625=0.6625in^{2}[/tex]