Anthony bought an 8-foot board. He cut off 3/4 of the board to build a shelf, and gave 1/3 of the rest to his brother for an art project. How many inches was the piece Anthony gave to his brother.

8 inches

Step-by-step explanation:

Anthony bought an 8-foot board. He cut off 3/4 of the board to build a shelf

Step 1

The amount of board he used to build the shelf is calculated as:

= 3/4 of 8 foot board

= 3/4 × 8 foot

= 6 foot board.

Step 2

The amount of board left after building the shelf = The rest =

8 foot - 6 foot

= 2 foot

Step 3

We are told that he gave 1/3 of the rest to his brother for an art project

The amount of board he give his brother for an art project =

1/3 × 2 foot

= 2/3 foot

Step 4

How many inches was the piece Anthony gave to his brother?

We convert 2/3 foot to inches

1 foot = 12 inches

2/3 foot = x inches

Cross Multiply

x inches = 2/3 foot × 12 inches

x inches = 8 inches

Therefore, Anthony gave his brother 8 inches of board.