You plan to construct a brick wall measuring 15 ft in length, 6 ft high, and 1 ft in width. if a brick measures 6 in x 4 in x 2 in, how many bricks will you need?

Respuesta :

1ft=12 inchs

15*12= 180inches
6*12 = 72 inches
1 *12 = 12 inches

Volume = 155,520
One brick = 48

155520/48 = 3240= total bricks needed

ANSWER= 3240

Answer:

3,240 bricks.

Step-by-step explanation:

Let n be the number of bricks.

We have been given that you plan to construct a brick wall measuring 15 ft in length, 6 ft high, and 1 ft in width. A brick measures 6 in x 4 in x 2 in.

First of all, we will convert the dimensions of wall from feet into inches.

1 feet = 12 inch

15 feet = 12*15 inch = 180 inch

6 feet = 12*6 inch = 72 inch

We know that volume of brick wall will be equal to volume of 'n' bricks, so we can set an equation to find 'n' as:

[tex]n\times \text{ 6 in}\times \text{ 4 in}\times \text{ 2 in}=\text{180 in}\times \text{ 72 in}\times \text{ 12 in}[/tex]

[tex]n\times 48\text{ in}^3=155,520\text{ in}^3[/tex]

[tex]\frac{n\times 48\text{ in}^3}{48\text{ in}^3}=\frac{155,520\text{ in}^3}{48\text{ in}^3}[/tex]

[tex]n=\frac{155,520}{48}[/tex]

[tex]n=3240[/tex]

Therefore, you will need 3,240 bricks.