The safe level of radon gas at home is 4X10e-12 Ci/L or less. If you measure radon levels in the basement what is the maximum number of Ci that could be safe to find in a basement with dimensions of 12 ft x 15 ft x 6 ft?

12 ft = ? cm

15 ft = ? cm
6 ft = ? cm.
volume basement = length cm x width cm x height cm = volume in cubic cm = cc.
!000 cc = 1 L
4E-12 Ci/L x volume basement = ?

Note: I believe your notation of 4 x 10e-12 is redundant. I think you write
4E-12 OR 4 x 10^-12 but not both.

thanks a lot big help

To determine the maximum number of Ci (curies) that could be safe to find in the basement, we need to calculate the maximum radon concentration in terms of Ci/L and then multiply it by the volume of the basement.

Here's how you can calculate it step-by-step:

Step 1: Convert the dimensions of the basement from feet to liters.
To do this, we need to multiply the length, width, and height in feet and then convert to liters.
Given dimensions: Length = 12 ft, Width = 15 ft, Height = 6 ft.
1 ft^3 is approximately equal to 28.3168 liters.
So, the volume of the basement in liters is: Volume = 12 ft × 15 ft × 6 ft × 28.3168 liters/ft^3.

Step 2: Calculate the maximum amount of radon in Ci that could be safe.
The safe level of radon is given as 4X10^-12 Ci/L or less.

Step 3: Multiply the maximum radon concentration by the volume of the basement to find the maximum amount of radon that could be safe.
Max Radon (Ci) = Maximum Radon concentration (Ci/L) × Volume (liters).

Let's perform the actual calculations:

Step 1: Convert the dimensions of the basement to liters:
Volume = 12 ft × 15 ft × 6 ft × 28.3168 liters/ft^3
Volume = 12 × 15 × 6 × 28.3168 liters
Volume ≈ 24,366.3744 liters

Step 2: The safe level of radon: 4X10^-12 Ci/L

Step 3: Calculate the maximum amount of radon that could be safe:
Max Radon (Ci) = 4X10^-12 Ci/L × 24,366.3744 liters

Max Radon (Ci) ≈ 9.74654976X10^-5 Ci

Therefore, the maximum number of Ci that could be safe to find in a basement with dimensions of 12 ft x 15 ft x 6 ft is approximately 9.74654976X10^-5 Ci.