Question

1. What is the number of pieces into which a cube can be cut by five cuts in one direction and seven cuts in another direction ? (A) 12 (B) 14 (C) 48 (D) 35​

Answer 1

Answer:

the answer is option d. 35( 7×5)

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Answer 2

To Find :- The number of pieces into which a cube can be cut by five cuts in one direction and seven cuts in another direction ?

(A) 12 (B) 14 (C) 48 (D) 35

Formula used :-

• When, x cuts in direction, Total pieces formed = (x + 1) .
• When x cuts in one direction and y cuts in another direction, Total pieces formed = (x + 1)(y + 1) .

Solution :-

given that,

→ Total cuts in one direction = 5 = x

So,

→ Total pieces formed in that direction = (x + 1) = (5 + 1) = 6

and,

→ Total cuts in one direction = 7 = y

So,

→ Total pieces formed in that direction = (y + 1) = (7 + 1) = 8

then,

→ Total pieces formed = (x + 1)(y + 1) = 6 × 8 = 48 pieces (c) (Ans.)

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