Gorax's favorite cereal is Cinnamon Toast Crunc several cereal boxes. Each cereal box has a volu 8 layers with 4 cereal boxes in each layer, what

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Description:**

Gorax's favorite cereal is Cinnamon Toast Crunch. Each week he receives a giant case full of several cereal boxes. Each cereal box has a volume of 40 cubic inches. If the shipping box holds 8 layers with 4 cereal boxes in each layer, what is the volume of the shipping box?

**Solution:**

To calculate the total volume of the shipping box, we need to determine the number of cereal boxes it holds and then multiply that by the volume of one cereal box.

1. **Calculate the total number of cereal boxes:** 
   - Number of layers in the shipping box = 8
   - Number of cereal boxes in each layer = 4
   - Total cereal boxes = Number of layers × Number of cereal boxes per layer
   - Total cereal boxes = 8 × 4 = 32 cereal boxes

2. **Calculate the total volume of the shipping box:**
   - Volume of one cereal box = 40 cubic inches
   - Total volume = Total cereal boxes × Volume of one cereal box
   - Total volume = 32 × 40 = 1280 cubic inches

**Answer:** The volume of the shipping box is 1280 cubic inches.

(Note: The circled numbers 8 and 4 in the text indicate the number of layers and the number of cereal boxes per layer respectively.)
Transcribed Image Text:**Problem Description:** Gorax's favorite cereal is Cinnamon Toast Crunch. Each week he receives a giant case full of several cereal boxes. Each cereal box has a volume of 40 cubic inches. If the shipping box holds 8 layers with 4 cereal boxes in each layer, what is the volume of the shipping box? **Solution:** To calculate the total volume of the shipping box, we need to determine the number of cereal boxes it holds and then multiply that by the volume of one cereal box. 1. **Calculate the total number of cereal boxes:** - Number of layers in the shipping box = 8 - Number of cereal boxes in each layer = 4 - Total cereal boxes = Number of layers × Number of cereal boxes per layer - Total cereal boxes = 8 × 4 = 32 cereal boxes 2. **Calculate the total volume of the shipping box:** - Volume of one cereal box = 40 cubic inches - Total volume = Total cereal boxes × Volume of one cereal box - Total volume = 32 × 40 = 1280 cubic inches **Answer:** The volume of the shipping box is 1280 cubic inches. (Note: The circled numbers 8 and 4 in the text indicate the number of layers and the number of cereal boxes per layer respectively.)
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