Answer:
58 in²
Step-by-step explanation:
To calculate the surface area using the net of the figure we need the following:
- Area of each shape
- Sum of the areas
Since the shapes we are dealing with are all rectangles, all we need to do is use the formula 'A = lw' to find the areas. In this formula, the area is represented as the length (l) multiplied by the height (h). The length of the figure is measured from down to up, while the width is measured from left to right. Since multiplication is commutative (reversible), order does not matter.
Areas:
- 1 in • 4 in = 4 in²
- 5 in • 4 in = 20 in²
- 1 in • 4 in = 4 in²
- 5 in • 1 in = 5 in²
- 5 in • 4 in = 20 in²
- 5 in • 1 in = 5 in²
To find the sum, all we have to do is add these numbers up, our sum is everything added together.
Sum:
4 in² + 20 in² + 4 in² + 5 in² + 20 in² + 5 in²
= 58 in²
Thus the surface area of the given figure is
58 in²
