Question

c. calculate the total capacity of the cake pans used.
vtotal = 234 + 100.48 = 334.48 cubic in

1. boxes of cake mix required.

a. each box of cake mix will make a volume of 234 in³. using the total capacity of the cake pans used, determine how many boxes of cake mix you will need to make this birthday cake.
hint: you can only buy whole boxes of cake mix.

Explanation:

Step1: Identify given values

Total capacity of cake pans $V_{total}=3341.48$ cubic - in, volume per box of cake mix $v = 234$ cubic - in.

Step2: Calculate number of boxes

Use the formula $n=\frac{V_{total}}{v}$, where $n$ is the number of boxes. So $n=\frac{3341.48}{234}\approx14.28$.

Step3: Round up to whole number

Since only whole - boxes can be bought, round up 14.28 to 15.

Answer:

15 boxes