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
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?
Answers
Answer:
5 inches
Step-by-step explanation:
10 + 9 = 19
19-14 = 5 inches :)))
(jk)
Answer:
620 cubic inches
Step-by-step explanation:
You want to find what the total volume of the wedding cake will be.
First, find the volume of the bottom layer. The bottom layer is shaped like a rectangular prism. Its length is 12 inches, its width is 10 inches, and its height is 2
1
2
inches.
To find the volume of the bottom layer, V, you can use the formula for the volume of a rectangular prism.
V
= ℓwh
V
= 12102
1
2
V
= 1210
5
2
Convert mixed numbers to improper fractions
V
=
600
2
Multiply
V
= 300 Simplify
The volume of the bottom layer will be 300 cubic inches.
Next, find the volume of the middle layer. The middle layer is shaped like a rectangular prism. Its length is 10 inches, its width is 8 inches, and its height is 2
1
2
inches.
To find the volume of the middle layer, V, you can use the formula for the volume of a rectangular prism.
V
= ℓwh
V
= 1082
1
2
V
= 108
5
2
Convert mixed numbers to improper fractions
V
=
400
2
Multiply
V
= 200 Simplify
The volume of the middle layer will be 200 cubic inches.
Now, find the volume of the top layer. The top layer is shaped like a rectangular prism. Its length is 8 inches, its width is 6 inches, and its height is 2
1
2
inches.
To find the volume of the top layer, V, you can use the formula for the volume of a rectangular prism.
V
= ℓwh
V
= 862
1
2
V
= 86
5
2
Convert mixed numbers to improper fractions
V
=
240
2
Multiply
V
= 120 Simplify
The volume of the top layer will be 120 cubic inches.
Last, add to find what the total volume of the wedding cake will be.
300+200+120=620
The total volume of the wedding cake will be 620 cubic inches.