Question

What is the surface area of the figure?

Answer 1

0.6625 in²

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 ;

`A=(1)/(2) *b*h`

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.

`A=(1)/(2) *0.25*1.2=0.15\\`

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

`A=l*l\\A=0.25*0.25=0.0625in^(2)`

Total surface area

Total surface area= Area of the triangles + Area of the base

`=0.6+0.0625=0.6625in^(2)`