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Answer :
Final answer:
To find the amount of paint needed for the green pedestal compared to the red pedestal, we calculate the surface area ratio based on their size ratio of 1:2. Since surface area is proportional to the square of the size, the green pedestal requires 1/4 of the paint needed for the red pedestal. Therefore correct option is A
Explanation:
To determine how much paint you need to paint the green pedestal compared to the red pedestal, we need to consider the surface area of each pedestal. Since the side lengths of the green pedestal are one-half the lengths of the red pedestal, let's denote the side length of the red pedestal as '2x' and the side length of the green pedestal as 'x'
The surface area of any object is proportional to the square of its dimensions. Since we are comparing two pedestals with a linear size ratio of 1:2, the surface area ratio will be the square of this: (1/2)^2, which equals 1/4. Therefore, the surface area of the green pedestal is 1/4th the surface area of the red pedestal.
Because the amount of paint needed is directly proportional to the surface area, the green pedestal will require 1/4 of the paint needed for the red pedestal. So the correct answer is (a) 1/4 of the paint needed for the red pedestal.
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