Let the length be l, width be w, and height be h.

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show me the answer

Apologies for the mistake in the previous calculation. Let's correct that:

Given:
Volume = 1.5 in^3
l * w = 1.5 in^2

We have the volume formula: V = lwh
Substitute the values into the formula:
lwh = 1.5
lw = 1.5

Since lw = 1.5, we get:
l = 1.5/w

Substitute l = 1.5/w back into lw = 1.5:
(1.5/w) * w = 1.5
1.5 = 1.5
This is true, so the solution is consistent.

Therefore, the dimension of the right rectangular prism with a volume of 1.5 in^3 and a base area of 1.5 in^2 can be any numbers that satisfy l = 1.5/w, as long as the multiplication of the three dimensions equals 1.5.

u sure

Let's reevaluate the problem to ensure the accuracy of the solution:

Given:
Volume = 1.5 in^3
l * w = 1.5 in^2

Volume of the right rectangular prism: V = lwh

From the given information, we have:
l * w = 1.5
(1) l = 1.5 / w

Substitute equation (1) back into the volume equation:
(1.5 / w) * w * h = 1.5
1.5h = 1.5
h = 1

Now, we know that the height, h, is 1. Substituting h = 1 back into the volume equation:

1.5 = lw
1.5 = w(1.5 / w)
1.5 = 1.5

The equation simplifies to a true statement. Therefore, the correct solution is:
Height (h) = 1 unit

The width (w) and length (l) of the right rectangular prism can be any values that satisfy the given conditions - in this case, l * w = 1.5.