A layered birthday cake has two rectangular prism layers. The base layer measures 12 inches by 10 inches.The second layer is thr

Question

3 years ago

11

ee 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?

1 answer:

Marta_Voda [28] · Answer 1 · 2022-05-20T21:52:08+03:00

Answer:

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