Question

question 2 (multiple choice worth 5 points) (volume mc) a cereal box is shaped like a rectangular prism with dimensions 8 inches by 4 inches by 11 inches. if one ounce of cereal occupies 10 cubic inches, and the box is at 80% capacity, what is the weight of the cereal in the box? 35.2 ounces 28.16 ounces 352 ounces 281.6 ounces question 3 (multiple choice worth 5 points)

Explanation:

Step1: Calculate the volume of the box

The volume \(V\) of a rectangular prism is \(V = l\times w\times h\). Here \(l = 8\) inches, \(w=4\) inches, \(h = 11\) inches. So \(V=8\times4\times11=352\) cubic inches.

Step2: Find the volume of cereal

The box is at \(80\%\) capacity. So the volume of cereal \(V_{cereal}=0.8\times352 = 281.6\) cubic inches.

Step3: Calculate the weight of cereal

Since one ounce of cereal occupies \(10\) cubic inches. Let the weight of cereal be \(x\) ounces. We have the proportion \(\frac{x}{281.6}=\frac{1}{10}\). Then \(x=\frac{281.6}{10}=28.16\) ounces.

Answer:

28.16 ounces