Question

Using the formula V=B×h , what is the volume of a rectangular prism with a length of 7 14 m, a width of 10 1/2 m, and a height of 12 2/5 m? Your answer should be a mixed number in simplest form.

9/20 is not right

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a rectangular prism is calculated by multiplying the base area (length times width) by the height.

Given:
Length = 7 14/1 m = 7 7/2 m = 21/2 m
Width = 10 1/2 m = 10 1/2 = 21/2 m
Height = 12 2/5 m = 12 2/5 = 62/5 m

First, calculate the base area:
Base area = Length x Width
Base area = 21/2 m x 21/2 m
Base area = (21 x 21) / (2 x 2) = 441 / 4 m²

Now, calculate the volume:
Volume = Base area x Height
Volume = 441/4 m² x 62/5 m
Volume = (441 x 62) / (4 x 5) = 27342 / 20 m³
Volume = 1367 1/10 m³

Therefore, the volume of the rectangular prism is 1367 1/10 m³.