Jack is going to paint the ceiling and 4 walls of a room that is 10ft wide, 12 ft long, and 10 ft from floor to ceiling. How many sq ft will he paint?

Ceiling:

A = 10 * 12

2 walls:
A = 2(10 * 10)

other 2 walls:
A = 2(12 * 10)

560 sqft

To find the total square footage that Jack will paint, we need to calculate the surface area of the ceiling and the 4 walls separately and then add them together.

1. Ceiling:
The ceiling is a rectangle with a width of 10 ft and a length of 12 ft. To find the area, multiply the width by the length:
Ceiling area = Length × Width = 12 ft × 10 ft = 120 sq ft

2. Walls:
Each wall is a rectangle except for the one facing the ceiling. The height of the walls is given as 10 ft, which matches the height of the room. Since we have 4 walls, we need to calculate the area of each wall and then sum them up.
Each wall has a width and height equal to the dimensions of the room's length and height, respectively.
Wall area = Length × Height = 12 ft × 10 ft = 120 sq ft (per wall)
Total wall area = Wall area × Number of walls = 120 sq ft × 4 = 480 sq ft

To find the total square footage that Jack will paint, we add the ceiling area to the total wall area:
Total square footage = Ceiling area + Total wall area = 120 sq ft + 480 sq ft = 600 sq ft

Therefore, Jack will paint 600 square feet.