I need to make an algebra problem using a cake with the measurements 12 inches by 16 inches and 3 inches thick. There were also 30 guest there and half of the cake was left. I also need the concept being used.
I'm not sure what you are asking.
Vol. of cake = 12 * 16 * 3
That half left is 1/2 of the above product.
The volume eaten by each guest = the half volume/30
The concept would b e volume?
To create an algebra problem using the given information about the cake, we can focus on determining the volume of the cake and the amount remaining after the party.
To find the volume of the cake, we can use the formula: Volume = Length × Width × Height.
Given:
Length of the cake = 12 inches
Width of the cake = 16 inches
Height (thickness) of the cake = 3 inches
Concept being used: Volume of a rectangular solid (a concept in geometry/algebra).
Step 1: Calculate the volume of the entire cake.
Volume of the cake = 12 inches × 16 inches × 3 inches
Step 2: Determine the amount consumed by the guests.
Number of guests at the party = 30
Since half of the cake was left after the party, the guests consumed the other half. So, the amount consumed is equal to half of the volume of the cake.
Step 3: Calculate the volume consumed.
Volume consumed = (1/2) × Volume of the cake
Now you can set up the problem using the information gathered above. For example:
An algebra problem using the given cake measurements could be:
"At a party, a rectangular cake measuring 12 inches by 16 inches and 3 inches thick was served to 30 guests. If half of the cake was left after the party, what was the volume of the cake and how much of it was consumed?"
The concept being used in this problem is the volume of a rectangular solid, and the solution will involve evaluating the expressions for volume and solving for the desired quantities.