Answer:
The answer is B: 624 sq. in
Step-by-step explanation:
find the area of one hexagons
since there are 6 congruent triangles, you find the area of 1 of the triangles and multiply by 6
Area of 1 triangle:
1/2bh = 1/2 (8 in) (7 in)
=1/2 (56 sq in.)
= 28 sq in.
Area of 1 hexagon is 6 (28 sq. in) = 168 sq. in.
There are 2 hexagons in the net, so multiply by 2
Area of 2 hexagons is...
2 (168 sq. in) = 336 sq. in.
Then find the area of the rectangular sides...which will be the 6 small squares shown on the first picture
**the rectangles each have 1 side that is equal to 1 side of the hexagon and 1 side is equal to the height of the prism.
Area of 1 rectangle side
lw = (8 in) (6 in.)
= 48 sq. in.
multiply all of the 6 sides of the area
=6 (48 sq.in)
=288 sq. in
Then add the area of the 2 hexagons to the area of the 6 rectangular sides
Total area = 336 sq. in + 288 sq. in
= 624 sq. in.