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.? Your answer should be a mixed number in simplest form.(1 point)

in.3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the rectangular prism, use the formula V = B x h, where B is the area of the base and h is the height.

First, find the area of the base:
length = 5 1/8 in.
width = 3 1/4 in.

Area of base = length x width
Area of base = (5 1/8) x (3 1/4)
Area of base = (41/8) x (13/4)
Area of base = (41 x 13) / (8 x 4)
Area of base = 533 / 32
Area of base = 16 21/32 in^2

Height = 7 3/8 in.

Volume = Area of base x height
Volume = (16 21/32) x (7 3/8)
Volume = (533/32) x (59/8)
Volume = (533 x 59) / (32 x 8)
Volume = 31447 / 256
Volume = 123 119/256 in^3

Therefore, the volume of the rectangular prism is 123 119/256 in^3.