Final answer:
To find the volume of the cuboid, multiply its dimensions. The total surface area can be found by adding the areas of all its faces. The cost to paint 1 cm² is the ratio of the total paint cost to the surface area.
Step-by-step explanation:
To calculate the volume of a cuboid, you multiply its length, width, and height. In this case, the length is 20cm, the width is 12cm, and the height is 5cm. So, the volume is 20cm × 12cm × 5cm = 1200cm³.
To calculate the total surface area of a cuboid, you can find the sum of the areas of all its faces. Each face is a rectangle, so you can find the area of each face by multiplying its length and width. Then, add up the areas of all the faces. In this case, the total surface area of the cuboid is (2 × 20cm × 12cm) + (2 × 20cm × 5cm) + (2 × 12cm × 5cm) = 640cm².
To find the cost to paint 1 cm² of the cuboid, divide the total cost of the paint used ($1.52) by the total surface area of the cuboid (640cm²). Then, convert the answer to cents. In this case, the cost to paint 1 cm² of the cuboid is (152 / 640) cents = 0.2375 cents.
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