Question
Elizabeth has baked a cake for her sister. The cake has two layers as shown in the diagram below. If a is 4 inches long, b is 3 inches long and c is 8 inches long, what is the volume of the cake?
Answers
GPT 3.5
To find the volume of the cake, we need to find the volume of each layer separately and then add them together.
The volume of the first layer (the smaller rectangle) is:
Volume = length x width x height
Volume = a x b x c
Volume = 4 x 3 x 8
Volume = 96 cubic inches
The volume of the second layer (the larger rectangle) is:
Volume = length x width x height
Volume = 2a x 2b x c
Volume = 2 x 4 x 2 x 3 x 8
Volume = 192 cubic inches
Therefore, the total volume of the cake is:
Total Volume = Volume of first layer + Volume of second layer
Total Volume = 96 + 192
Total Volume = 288 cubic inches
So, the volume of the cake is 288 cubic inches.
The volume of the first layer (the smaller rectangle) is:
Volume = length x width x height
Volume = a x b x c
Volume = 4 x 3 x 8
Volume = 96 cubic inches
The volume of the second layer (the larger rectangle) is:
Volume = length x width x height
Volume = 2a x 2b x c
Volume = 2 x 4 x 2 x 3 x 8
Volume = 192 cubic inches
Therefore, the total volume of the cake is:
Total Volume = Volume of first layer + Volume of second layer
Total Volume = 96 + 192
Total Volume = 288 cubic inches
So, the volume of the cake is 288 cubic inches.