An open rectangular box (no top) has a square base with side 10 cm and height 16 cm. The surface area is:
area of base = 10*10 = 100
area of sides = 4*10*16 = 640
total = 740 cm^2
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To find the surface area of the open rectangular box, we need to calculate the areas of each of its six sides.
1. Base area: The base of the box is a square with side 10 cm. So, the area of the base is 10 cm × 10 cm = 100 cm².
2. Four side areas: The box has four identical rectangular sides, each with dimensions 10 cm × 16 cm. The area of each side is 10 cm × 16 cm = 160 cm². Since there are four of these sides, the total area of the four sides is 4 × 160 cm² = 640 cm².
3. Open top area: The box does not have a top. Therefore, the open top area is simply 0 cm².
To find the surface area, we add up the areas of all six sides:
Total Surface Area = Base area + Four side areas + Open top area
Total Surface Area = 100 cm² + 640 cm² + 0 cm²
Total Surface Area = 740 cm²
Therefore, the surface area of the open rectangular box is 740 cm².