Using the formula V=B×h , what is the volume of a rectangular prism with a width of 3 1/4 in., a length of 5 1/8 in., and a height of 7 3/8 in.? Your answer should be a mixed number in simplest form.(1 point) simplify it

Answer 1

V = (3 1/4) * (5 1/8) * (7 3/8)
V = (13/4) * (41/8) * (59/8)
V = (13 * 41 * 59) / (4 * 8 * 8)
V = 31,787 / 256
V = 124 139/256

Therefore, the volume of the rectangular prism is 124 139/256 cubic inches.

Answer 2

simplify it

Answer 3

To simplify the mixed number 124 139/256, we need to first convert the 124 into a fraction and then add it to the fraction part:

124 + 139/256
= 124 + (139/256)
= (124 * 256 + 139) / 256
= (31744 + 139) / 256
= 31883 / 256

Therefore, the simplified volume of the rectangular prism is 124 139/256 cubic inches, which can be further simplified to 31883/256 cubic inches.

Answer 4

it needs to be mixed

Answer 5

To convert the fraction 31883/256 into a mixed number, we perform long division:

256 goes into 31883 a total of 124 times with a remainder of 99:
31883 ÷ 256 = 124 remainder 99

Therefore, the simplified volume of the rectangular prism is 124 99/256 cubic inches.