Outside Danny is building the base of a brick fireplace. He is using bricks that are 3.625 inches wide, 2.25 inches high, and 8 inches long. He

starts by laying 6 bricks end to end as shown in the diagram.

Danny lays another 6 bricks alongside the 6 bricks already in place, and repeats laying another 6 bricks alongside of the 6 bricks he just placed 4 more times.

Danny stacks more layers on top of the brick base. Each layer is the same size which creates a rectangular prism of bricks. The total

volume of the rectangular brick base is 11,745 cubic inches

How many layers of bricks is the rectangular base?

Question

Mathematics

Shelby Moran

26 August, 04:39

Outside Danny is building the base of a brick fireplace. He is using bricks that are 3.625 inches wide, 2.25 inches high, and 8 inches long. He

starts by laying 6 bricks end to end as shown in the diagram.

Danny lays another 6 bricks alongside the 6 bricks already in place, and repeats laying another 6 bricks alongside of the 6 bricks he just placed 4 more times.

Danny stacks more layers on top of the brick base. Each layer is the same size which creates a rectangular prism of bricks. The total

volume of the rectangular brick base is 11,745 cubic inches

How many layers of bricks is the rectangular base?

+2

Answers (1)

Know the Answer?

Aydin Cruz · Answer 1

30 layers of bricks

Step-by-step explanation:

find the volume of the bricks first

3.625*2.25*8

65.25

multiply by 6

65.25*6

391.5

divide by the volume of the base

11,745/391.5

30 layers