9514 1404 393
Answer:
(a) 34 ft²
Explanation:
The "top" and "back" together have a height of 2 ft + 1 1/2 ft = 3 1/2 ft. The bottom and front will have the same height, so the central vertical rectangle in the net will have a height of 2×(3 1/2 ft) = 7 ft. It is shown as having a width of 4 ft, so its area is ...
A = WH = (4 ft)(7 ft) = 28 ft²
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The two areas labeled "left" and "right" are shown as having a height of 1 1/2 ft. Their width is the same as the width of the bottom (or top), so is 2 ft. The total area of the left and right sides is then ...
left + right = 2WH = 2(2 ft)(1 1/2 ft) = 6 ft²
That makes the area of the entire net be ...
total surface area = 28 ft² +6 ft² = 34 ft²
The surface area of the box is 34 square feet.