Question

after school, carlos helps his mom at her cake shop, love and lace cakes. today, he is helping her bake a 3 - layer wedding cake. each layer will be 2\frac{1}{2} inches tall and shaped like a rectangular prism. the bottom layer will be 12 inches long and 10 inches wide. the middle layer will be 10 inches long and 8 inches wide. the top layer will be 8 inches long and 6 inches wide. what will the total volume of the wedding cake be? cubic inches

Explanation:

Step1: Find volume of bottom layer

The volume formula for a rectangular - prism is $V = l\times w\times h$. For the bottom layer, $l = 12$ inches, $w = 10$ inches, and $h=2\frac{1}{2}=\frac{5}{2}$ inches. So $V_1=12\times10\times\frac{5}{2}= 300$ cubic inches.

Step2: Find volume of middle layer

For the middle layer, $l = 10$ inches, $w = 8$ inches, and $h=\frac{5}{2}$ inches. So $V_2=10\times8\times\frac{5}{2}=200$ cubic inches.

Step3: Find volume of top layer

For the top layer, $l = 8$ inches, $w = 6$ inches, and $h=\frac{5}{2}$ inches. So $V_3=8\times6\times\frac{5}{2}=120$ cubic inches.

Step4: Find total volume

The total volume $V = V_1 + V_2+V_3$. So $V=300 + 200+120 = 620$ cubic inches.

Answer:

620