Question

conversion facts for length
1 foot (ft) = 12 inches (in)
1 yard (yd) = 3 feet (ft)
1 yard (yd) = 36 inches (in)
(a) assuming the roof, windows, and doors require no primer, what is the area in square feet that needs primer? (do not round any intermediate computations and give your answer as a whole number.)
□ ft²
(b) the primer to be used is sold in cans. each can contains enough primer to cover 340 ft². assume there is no primer yet and partial cans cannot be bought. how many cans will need to be bought in order to paint the warehouse with primer?

Explanation:

Step1: Calculate the area of the four walls

The two walls with dimensions 31 ft (length) and 30 ft (height) have a combined area of $2\times(31\times30)= 1860$ square - feet. The two walls with dimensions 25 ft (width) and 30 ft (height) have a combined area of $2\times(25\times30)=1500$ square - feet.

Step2: Find the total area of the walls

The total area of the walls is $1860 + 1500=3360$ square - feet.

Step3: Calculate the area of the roof

The area of the roof with dimensions 31 ft and 25 ft is $31\times25 = 775$ square - feet.

Step4: Find the area that needs primer

The area that needs primer is the area of the walls only (since roof, windows, and doors don't need primer), which is 3360 square - feet.

Answer:

3360

Step5: Calculate the number of cans

To find the number of cans, divide the total area that needs primer by the area covered by one can. So, $\frac{3360}{340}\approx9.88$. Since partial cans cannot be bought, we need to round up to the next whole number.