Question

How many 6” x 4” x 2” bricks will you need to construct a 14’5” x 5’5” x 0.5’ wall?

Answer 1

1406 bricks

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,
`V_(B)` = Length × Width × Height

i.e. Volume of 1 brick,
`V_(B)` = 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,
`V_(W)`= Length × Width × Height

i.e. Volume of the wall,
`V_(W)` = 173 × 65 × 6 = 67470 inch²

So, the volume of the wall is 67470 inch².

Thus, we get,

Number of bricks =
`(V_(W))/(V_(B))`

i.e. Number of bricks =
`(67470)/(48)`

i.e. Number of bricks = 1406

Hence, 1406 bricks are needed to construct the wall.