UCAT Exam > UCAT Questions > To pack a set of books, Gautam got cartons of...
Start Learning for Free
To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]
- a)36 inches
- b)32.5 inches
- c)30 inches
- d)32 inches
- e)40 inches
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
To pack a set of books, Gautam got cartons of a certain height that we...
Volume of carton = volume of cuboid = Length × Breadth × Height
⇒ volume of carton = 48 × 27 × Height
∵ 1 foot = 12 inches, then 22.5 cubic feet = 22.5 × 12 × 12 ×12
⇒ 22.5 × 12 × 12 × 12 = 48 × 27 × Height
⇒ 38,880 = 1,296 × Height
⇒ Height = 30 inches.
∴ The height of each cartoon is 30 inches.
Most Upvoted Answer
To pack a set of books, Gautam got cartons of a certain height that we...
Volume of carton = volume of cuboid = Length × Breadth × Height
⇒ volume of carton = 48 × 27 × Height
∵ 1 foot = 12 inches, then 22.5 cubic feet = 22.5 × 12 × 12 ×12
⇒ 22.5 × 12 × 12 × 12 = 48 × 27 × Height
⇒ 38,880 = 1,296 × Height
⇒ Height = 30 inches.
∴ The height of each cartoon is 30 inches.
Free Test
FREE
| Start Free Test |
Community Answer
To pack a set of books, Gautam got cartons of a certain height that we...
Given Data:
- Length of the carton = 48 inches
- Width of the carton = 27 inches
- Volume of the carton = 22.5 cubic feet
Conversion:
1 foot = 12 inches
Calculation:
- First, we need to convert the volume of the carton from cubic feet to cubic inches:
Volume in cubic inches = 22.5 cubic feet * (12 inches/1 foot)^3 = 22.5 * 1728 = 38880 cubic inches
- Now, we can calculate the height of the carton using the formula for volume of a rectangular prism:
Volume = Length * Width * Height
38880 = 48 * 27 * Height
Height = 38880 / (48 * 27)
Height = 30 inches
Therefore, the height of each carton is 30 inches.
So, the correct answer is option C) 30 inches.
- Length of the carton = 48 inches
- Width of the carton = 27 inches
- Volume of the carton = 22.5 cubic feet
Conversion:
1 foot = 12 inches
Calculation:
- First, we need to convert the volume of the carton from cubic feet to cubic inches:
Volume in cubic inches = 22.5 cubic feet * (12 inches/1 foot)^3 = 22.5 * 1728 = 38880 cubic inches
- Now, we can calculate the height of the carton using the formula for volume of a rectangular prism:
Volume = Length * Width * Height
38880 = 48 * 27 * Height
Height = 38880 / (48 * 27)
Height = 30 inches
Therefore, the height of each carton is 30 inches.
So, the correct answer is option C) 30 inches.
|
Explore Courses for UCAT exam
|
|
Top Courses for UCATView all
Question Description
To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer?.
To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer?.
Solutions for To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UCAT.
Download more important topics, notes, lectures and mock test series for UCAT Exam by signing up for free.
Here you can find the meaning of To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice To pack a set of books, Gautam got cartons of a certain height that were 48 inches long and 27 inches wide. If the volume of such a carton was 22.5 cubic feet, what was the height of each carton? [Use 1 foot = 12 inches.]a)36 inchesb)32.5 inchesc)30 inchesd)32 inchese)40 inchesCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice UCAT tests.
|
|
Explore Courses for UCAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily