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\begin{tabular}{l} 13. A rectangular container has a capacity of \\ 140 cubic inches. The width is 7 inches, and \\ the height is 2 inches. What is the length \\ of the container? \\ \( \qquad \begin{array}{ll}\text { A. } 10 \mathrm{in} & \text { B. } 14 \mathrm{in} . \\ \text { C. } 20 \mathrm{in} & \text { D. } 70 \mathrm{in} .\end{array} \) \\ \hline 14. Rewrite 1.907\end{tabular}

Ask by Bolton Sanders. in the United States
Jan 27,2025

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Answer

**Question 13:** The length of the container is **10 inches**. **Question 14:** 1.907 is **one and nine hundred seven thousandths**. **Answer Choices:** A. 10 in B. 14 in C. 20 in D. 70 in

Solution

Certainly! Let's tackle both questions one by one. --- ### **Question 13** **Problem:** A rectangular container has a capacity of **140 cubic inches**. The width is **7 inches**, and the height is **2 inches**. What is the length of the container? **Options:** A. 10 in B. 14 in C. 20 in D. 70 in **Solution:** To find the length of the container, we can use the formula for the volume of a rectangular prism: \[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \] Given: - Volume \( V = 140 \) cubic inches - Width \( W = 7 \) inches - Height \( H = 2 \) inches Plugging the known values into the formula: \[ 140 = \text{Length} \times 7 \times 2 \] \[ 140 = \text{Length} \times 14 \] \[ \text{Length} = \frac{140}{14} = 10 \text{ inches} \] **Answer:** **A. 10 in** --- ### **Question 14** **Problem:** Rewrite **1.907** **Solution:** The problem asks to rewrite the decimal **1.907** in words. There are a few ways to interpret "rewrite," but a common interpretation is to express the decimal in words. - **Decimal Form:** 1.907 - **Word Form:** One and nine hundred seven thousandths **Answer:** **1.907** written in words is **"one and nine hundred seven thousandths."** --- If you need further assistance or a different interpretation for Question 14, please let me know!

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To find the length of the rectangular container, we can use the formula for the volume of a rectangular box: Volume = Length × Width × Height. Given the volume is 140 cubic inches, the width is 7 inches, and the height is 2 inches, we can rearrange the formula to solve for the length. 140 = Length × 7 × 2. This simplifies to Length = 140 / (7 × 2) = 140 / 14 = 10 inches. So, the answer is A. 10 inches. Now, let's explore why understanding volume matters in real life. Volume calculations can be crucial for everything from determining how much paint to buy for your next DIY project to figuring out the capacity of your fridge when stocking up for a big family gathering. Knowing how to work with these measurements can result in better planning and less waste! Want some fun facts about the historical use of containers? Historically, rectangular containers have been used for storage, transportation, and even architectural designs for centuries. Ancient Egyptians crafted storage containers that are similar in form, proving that functionality has always been at the heart of design—whether for food storage or artistic presentation! Understanding their evolution helps us appreciate modern design.

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