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 feet and they width of 7 1/4 ft
First, convert all mixed numbers to improper fractions:
Height = 3 2/5 = 17/5
Length = 6 1/8 = 49/8
Width = 7 1/4 = 29/4
Now, plug the values into the volume formula V = B * h:
V = (49/8) * (29/4) * (17/5)
V = (1717/40) * (17/5)
V = 29289/200
Therefore, the volume of the rectangular prism is 29289/200 cubic feet.
The answer choices are
150 157/160ft
44 13/32ft
157 150/160ft
16 31/40ft
To find the volume of the rectangular prism, we use the formula V = B * h, where the base area (B) is given by length * width.
Given:
Height (h) = 3 2/5 ft = 17/5 ft
Length = 6 1/8 ft = 49/8 ft
Width = 7 1/4 ft = 29/4 ft
Calculating base area:
Base area (B) = Length * Width
B = (49/8) * (29/4)
B = 1769/32
Now calculating volume:
V = B * h
V = (1769/32) * (17/5)
V = 30273/160
Therefore, the volume of the rectangular prism is 30273/160 cubic feet.
Converting this to a mixed number:
30273/160 = 188 remainder 113
Thus, the answer is 188 113/160 ft.
Among the given answer choices:
- 150 157/160 ft is closest to 188 113/160 ft