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Q150 (IAS/2000) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics Answer Verified

What is the maximum number of pieces of 5 cm x 5 cm x 10 cm cake that can be cut from a big cake of 5 cm x 30 cm x 30 cm size ?

Result
Your answer: —  Â·  Correct: C
Explanation

We treat both cakes as cuboids and use their dimensions to see how many small cuboids fit along each axis. The volume formula V = l × w × h applies for cuboids and justifies working with their linear dimensions ; measuring and comparing corresponding lengths is standard practice [1]. The large cake is 5 × 30 × 30 cm; the small piece is 5 × 5 × 10 cm. One 5-cm side of the small piece fits exactly into the 5-cm side of the large cake (1 layer). Along the two 30-cm faces, arrange the small piece so its 5-cm side goes along one 30-cm edge (30/5 = 6) and its 10-cm side along the other (30/10 = 3). Total pieces = 1 × 6 × 3 = 18.

Sources

  1. [1] Science ,Class VIII . NCERT(Revised ed 2025) > Chapter 9: The Amazing World of Solutes, Solvents, and Solutions > Activity 9.6: Let us calculate > p. 145
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