Question 25 of 29intermediate🔧 ApplyNumerical3 marks

A teacher placed textbooks that are 2.5 cm thick on a bookshelf. The teacher wanted to place 80 textbooks on the shelf. The bookshelf is 160 cm long. How many books could be placed on the shelf? Was there any space left? If yes, how much?

Correct Answer

Given: Thickness of each textbook = 2.5 cm Number of textbooks to place = 80 Length of bookshelf = 160 cm

Calculation: Thickness needed for 80 books = 80×2.580 \times 2.5 = 200 cm Since 200 > 160, not all books fit Number of books that fit = 160 ÷ 2.5 = 64 books Space used = 64×2.564 \times 2.5 = 160 cm Space remaining = 160 - 160 = 0 cm

Answer: 64 books can be placed on the shelf. No space left.

Exercise: Figure it Out (Section 4) | Q: 4 | (Page Page 27)
For More Understanding

Explanation

Calculate total thickness needed for 80 books (80×2.580 \times 2.5 = 200 cm). Since 200 > 160, not all books fit. Number of books that fit = 160 ÷ 2.5 = 64 books. Space used = 64×2.564 \times 2.5 = 160 cm. No space left.

Solution Steps

  1. Thickness needed for 80 books = 80×2.580 \times 2.5 = 200 cm

  2. Since 200 > 160, not all books fit

  3. Number of books that fit = 160 ÷ 2.5 = 64 books

  4. Space used = 64×2.564 \times 2.5 = 160 cm

  5. Space remaining = 160 - 160 = 0 cm

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