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.? The answer will be a mixed fraction in cubic inches.
To find the volume of the rectangular prism, we need to plug in the values for the width (B), length (l), and height (h) into the formula V = B x h.
Width (B) = 3 1/4 in. = 13/4 in.
Length (l) = 5 1/8 in. = 41/8 in.
Height (h) = 7 3/8 in. = 59/8 in.
Now, plug in the values into the formula:
V = (13/4) x (41/8) x (59/8)
V = 13 x 41 x 59 / (4 x 8 x 8)
V = 33467 / 256
V = 130 67/256 cubic inches
Therefore, the volume of the rectangular prism is 130 67/256 cubic inches.
130 67/256 simplest form
To simplify the mixed fraction 130 67/256, first multiply the whole number (130) by the denominator of the fraction (256) and add the numerator (67):
130 x 256 + 67 = 33280 + 67 = 33347
Then, keep the denominator the same:
33347/256
Therefore, the volume of the rectangular prism in simplest form is 33347/256 cubic inches.
no just the fraction for 130 67/256
Apologies for the mistake.
To simplify the mixed fraction 130 67/256 to a single mixed fraction:
130 67/256 = 130 + 67/256
= 130 + (67 ÷ 256)
= 130 + (67/256)
= (130 * 256 + 67) / 256
= (33280 + 67) / 256
= 33347 / 256
Therefore, the volume of the rectangular prism in simplest form is 33347/256 cubic inches.
simplify the fraction in 130 67/256
To simplify the fraction 130 67/256, first convert the mixed number to an improper fraction:
130 67/256 = (130 * 256 + 67) / 256
= (33280 + 67) / 256
= 33347 / 256
Now, to simplify the fraction 33347/256:
Divide the numerator and denominator by their greatest common factor, which is 1 in this case:
33347/256 = 33347/256
Therefore, the simplified fraction for 130 67/256 is 33347/256.
convert 33347/256 to a mixed
To convert the fraction 33347/256 to a mixed number, we need to divide the numerator (33347) by the denominator (256) and express the result as a whole number and a proper fraction.
33347 ÷ 256 = 131 with a remainder of 211
Therefore, the mixed number equivalent to the fraction 33347/256 is 131 211/256.