Question

How many wooden blocks can Sara paint with one gallon of paint if she paints small cube-shaped wooden blocks, each with a lateral edge of 10 cm, and uses 480,000 cm² with one gallon of paint?

Options:
a) 20 blocks
b) 30 blocks
c) 40 blocks
d) 50 blocks

Answer 1

To find the number of wooden blocks Sara can paint with one gallon of paint, divide the total surface area of the blocks by the amount of paint used for the given surface area. Sara can paint 800 wooden blocks with one gallon of paint.

Step-by-step explanation:

To find the number of wooden blocks Sara can paint with one gallon of paint, we need to calculate the total surface area of the blocks and divide it by the amount of paint used for the given surface area. The lateral edge of each cube-shaped block is 10 cm, so the surface area of each block is 6 * (10 cm)². Given that 480,000 cm² of paint is used for one gallon of paint, we can calculate the number of blocks as follows:

Total surface area of blocks = 480,000 cm²

Surface area per block = 6 * (10 cm)² = 600 cm²

Number of blocks = Total surface area of blocks / Surface area per block

Number of blocks = 480,000 cm² / 600 cm² = 800 blocks

Therefore, Sara can paint 800 wooden blocks with one gallon of paint.