Find the volume of a rectangular block of ice 5 ft by 3 1/2ft by 1/2ft.

To find the volume of a rectangular block of ice, you simply multiply the length, width, and height of the block.

The length of the block is 5 ft, the width is 3 1/2 ft, and the height is 1/2 ft.

Let's first convert the mixed number 3 1/2 ft to an improper fraction:
3 1/2 ft = 7/2 ft

Now we can find the volume:
Volume = length × width × height
Volume = 5 ft × 7/2 ft × 1/2 ft

To simplify, multiply the numbers:
Volume = (5 × 7 × 1) / (2 × 2) ft³
Volume = 35/4 ft³

Therefore, the volume of the rectangular block of ice is 35/4 ft³.