Question

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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

130 67/256 simplest form

Answer 3

[AI-generated answer — Bot GPT 3.5]

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.

Answer 4

no just the fraction for 130 67/256

Answer 5

[AI-generated answer — Bot GPT 3.5]

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.

Answer 6

simplify the fraction in 130 67/256

Answer 7

[AI-generated answer — Bot GPT 3.5]

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.

Answer 8

convert 33347/256 to a mixed

Answer 9

[AI-generated answer — Bot GPT 3.5]

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.