Question
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?
14. Rewrite 1.907
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? |
|
14. Rewrite 1.907 |
Ask by Bolton Sanders. in the United States
Jan 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Question 13:
The length of the container is 10 inches.
The length of the container is 10 inches.
Question 14:
1.907 is one and nine hundred seven thousandths.
1.907 is one and nine hundred seven thousandths.
Answer Choices:
A. 10 in
B. 14 in
C. 20 in
D. 70 in
A. 10 in
B. 14 in
C. 20 in
D. 70 in
Solution

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Beyond the Answer
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.
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.