A layered birthday cake has two rectangular prism layers. The base layer measures 12 inches by 10 inches. The second layer is three inches smaller in width and length as the previous layer. Both of the layers are 4 inches taller. What is the volume of the cake?

The answer to your question is 732 in³

Step-by-step explanation:

Data

Rectangular prism layers

Base layer = 12 in x 10 in x 4 in

Second layer = 3 in smaller x 4 in

Volume = ?

Formula

Total volume = Volume of the base layer + Volume of the second layer

Total volume = length 1 x width 1 x height +  length 2 x width 2 x height

Substitution

Total volume = 12 x 10 x 4 + (12 - 3)(10 - 3)(4)

Simplification

Total volume = 480 + (9)(7)(4)

Total volume = 480 + 252

Result

Total volume = 732 in³

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: