Question

How much paint needed to paint the walls Interior in the Figure with one coat of primer and two coats of batex paint? The colligi 8 foot inches From one on of brimer will cover 250 square feet of wall and one rallon of latex paint will cover 400 square feet of wall with a single coat The doors 3-foot wide by 7-foot high Exclude door comes painted so exclude - 17-0" 12-0" 10'-0" 23-0"

Answer 1

To find the unit of paint required we have to find the total area to paint

Total area = Area of wall + Area of celling

Area of wall = (23*8.6 + 17*8.6+12*8.6+10*8.6) - (3*7) = 512.2 sq feet

///// Note 3*7 is the door area /////

Area of celling = 17*17 + (23-17)*10 = 349 sq feet

Total area = 512.2 + 349 = 861.2 sq feet

Given that 1 gallon of primer cover 250 sq feet of area

So units of primer required = 861.2/ 250 = 3.4448 gallons

Given that 1 gallon of latex paint cover 400 sq feet

So units of latex paint required = 861.2/400 = 2.153 gallons

Part 2

Given that the joists are 12 ft long

Center to center distance = 20 inches

As per layout we can split the area into 2

12 x 17 feet area and

10 x 23 feet

For 12 x 17

Area of the space =  

12 * 17 = 204

OC = 20 inche s = 1.6667 ft

Area covered by one joist = 1.6667 * 12 = 20 sq feet

Number of Joist required = 204 / 20 = 10.2

Second area = 10 * 23 = 230 ft

assuming the length of joist = 23 ft

Area covered by one joist = 1.6667 * 23 = 38.3341

Number of joist with length 23 ft = 230/ 38.3341 = 6

Total length of joist = 6* 23 = 138 ft

Total number of 12 ft joist required = 138/12 = 11.

So total number of jois required to cover the floor = 10.2 + 11 = 21.2

Thanks