A cuboid with a height of 40cm and a square cross section will increase its surface area by 80 cm2 if the height is increased by 5cm. Calculate the surface area and volume of the original cuboid

If the height is increased by 5cm, the surface area will be increased by 80 cm2, and the perimeter of the bottom surface can be calculated as 80 / 5 = 16 (CM)
Because the bottom is square, the side length of the bottom is 16 / 4 = 4 (CM)
So the bottom area is 4 * 4 = 16 (square centimeter)
So the cuboid volume is 16 * 40 = 640 (cubic centimeter)
So the cuboid volume is 16 * 2 + 16 * 40 = 672 (square centimeter)

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