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

Question

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?

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Jasmine 4 weeks 2021-11-10T16:12:19+00:00 1 Answer 0 views 0

Answers ( )

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    2021-11-10T16:13:56+00:00

    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

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45:7+7-4:2-5:5*4+35:2 =? ( )