Question

joe wants to paint the outside of a wooden box. he needs to find the surface area of the box in order to buy paint. a net of the box is shown. what is the surface area of the box? 4 ft 2 ft top 1 1/2 ft back left bottom right front 34 ft² 17 ft² 12 ft² 28 ft²

Explanation:

Step1: Calculate area of top and bottom

The top and bottom are rectangles with length $4$ ft and width $2$ ft. Area of one is $4\times2 = 8$ ft², and for both $2\times8=16$ ft².

Step2: Calculate area of front and back

The front and back are rectangles with length $4$ ft and width $1\frac{1}{2}$ ft. Area of one is $4\times1\frac{1}{2}=4\times\frac{3}{2}=6$ ft², and for both $2\times6 = 12$ ft².

Step3: Calculate total surface - area

Add areas of top - bottom and front - back. $16 + 12=28$ ft².

Answer:

$28\ ft^{2}$