Question

a standard sheet of drywall is 4 x 8. how many sheets will it take to cover a room that is 16 x 16 with 8 tall walls? all 4 walls and the ceiling

Explanation:

Step1: Calculate area of walls

The room is 16' x 16' with 8' tall walls. There are 4 walls. Two walls have dimensions 16' (length) x 8' (height), and the other two also have 16' x 8' (since it's a square room). So area of one wall: $16\times8 = 128$ sq ft. Total wall area: $4\times128 = 512$ sq ft.

Step2: Calculate area of ceiling

Ceiling is a square with side 16', so area: $16\times16 = 256$ sq ft.

Step3: Total area to cover

Add wall and ceiling areas: $512 + 256 = 768$ sq ft.

Step4: Area of one drywall sheet

A drywall sheet is 4' x 8', so area: $4\times8 = 32$ sq ft.

Step5: Number of drywall sheets

Divide total area by area per sheet: $\frac{768}{32}=24$.

Answer:

24