Answer:
1406 bricks
Step-by-step explanation:
We are given that the dimension of the bricks are,
Length = 6 inches, Width = 4 inches and Height = 2 inches.
Thus, we have,
Volume of 1 brick, [tex]V_{B}[/tex] = Length × Width × Height
i.e. Volume of 1 brick, [tex]V_{B}[/tex] = 6 × 4 × 2 = 48 inch²
So, the volume of 1 brick is 48 inch².
Also, the dimensions of the wall are given by,
Length = 14’5” = 173 inches, Width = 5’5” = 65 inches and Height = 0.5' = 6 inches
Volume of the wall, [tex]V_{W}[/tex]= Length × Width × Height
i.e. Volume of the wall, [tex]V_{W}[/tex] = 173 × 65 × 6 = 67470 inch²
So, the volume of the wall is 67470 inch².
Thus, we get,
Number of bricks = [tex]\frac{V_{W}}{V_{B}}[/tex]
i.e. Number of bricks = [tex]\frac{67470}{48}[/tex]
i.e. Number of bricks = 1406
Hence, 1406 bricks are needed to construct the wall.
