The number of grams of paint needed to cover the rectangular box is 5n grams.
grams of paint needed to cover the rectangular box, we need to find the total surface area of the box and then calculate the amount of paint required based on the given rate.
Step 1: Find the surface area of the rectangular box.
The surface area of a rectangular box is the sum of the areas of its six faces. If we assume that all the faces are equal in size, we can find the surface area by multiplying the area of one face by 6.
Let's say the area of one face is A. Then the surface area of the rectangular box is 6A.
Step 2: Calculate the amount of paint required.
Since we are given that 5 grams of paint are needed to cover one small cube, we can use this information to find the amount of paint needed for the entire box.
Let's say the number of small cubes needed to cover the box is n. Then the amount of paint required is 5 grams × n.