Question

if the volume of a right rectangular prism is 7 in3 (The in has 3 over top of it) and its length and width have a product of 3.5 in2 (the in has 2 over top of it), what is the height of this prism!

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the height of the prism, we first need to find the dimensions of the prism.

The volume of a rectangular prism is given by the formula: Volume = length x width x height.

Given:
Volume = 7 in^3
Length x width = 3.5 in^2

Since the volume is 7 in^3 and the length times width is 3.5 in^2, we can express the height in terms of the volume and the product of the length and width.

Let:
Length = l
Width = w
Height = h

From the given information:
l * w = 3.5
l * w * h = 7

Substitute l * w = 3.5 into the volume formula:
3.5 * h = 7
h = 7 / 3.5
h = 2

Therefore, the height of the prism is 2 inches.