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

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, = Length × Width × Height

i.e. Volume of 1 brick, = 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, = Length × Width × Height

i.e. Volume of the wall, = 173 × 65 × 6 = 67470 inch²

So, the volume of the wall is 67470 inch².

Thus, we get,

Number of bricks =

i.e. Number of bricks =

i.e. Number of bricks = 1406

Hence, 1406 bricks are needed to construct the wall.

q: 92 degrees

hope i ^-^

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.