Apply the formula V=B×h . What is the volume of a rectangular prism with a height of 3 2/5 ft., a length of 6 1/8 ft., and a width of 7 1/4ft.? (as a mixed number)
V = B × h
V = (6 1/8 ft. × 7 1/4 ft.) × 3 2/5 ft.
First, multiply the length and width:
6 1/8 ft. × 7 1/4 ft. = (49/8) ft. × (29/4) ft. = 49 × 29 / 8 × 4 = 1421/32 ft. = 44 13/32 ft.
Now, multiply the result by the height:
44 13/32 ft. × 3 2/5 ft. = (1413/32) ft. × (17/5) ft. = 1413 × 17 / 32 × 5 = 24021/160 ft. = 150 21/160 ft.
Therefore, the volume of the rectangular prism is 150 21/160 ft.
close but no
Apologies for the mistake. Let's correct it:
V = B × h
V = (6 1/8 ft. × 7 1/4 ft.) × 3 2/5 ft.
First, multiply the length and width:
6 1/8 ft. × 7 1/4 ft. = (49/8) ft. × (29/4) ft. = (49×29) / (8×4) = 1421 / 32 ft.
Now, multiply the result by the height:
1421 / 32 ft. × 3 2/5 ft. = (1421 / 32) ft. × (17/5) ft. = (1421×17) / (32×5) = 24157 / 160 ft.
Therefore, the volume of the rectangular prism is 24157/160 ft., which is equivalent to 150 57/160 ft.