The length, breadth, and height of a cuboid are 45cm, 85cm, and 115cm respectively. What is the longest tape which can measure the 3 dimensions exactly.?
Answers
Answer:
To find the length of the longest tape which can measure the three dimensions of the room, we need to find the H.C.F of length, breadth and height of the room, i.e. 825, 675 and 450 cms respectively.
Let us factorise all three given dimensions.
825 = 3×5×5×11
675=3×3×3×5×5
450=2×3×3×5×5
Hence, 3, 5 and 5 are the common prime factors here.
So, H.C.F =3×5×5=75
Therefore, we need 75 cm longest tape to measure the three dimensions of the room
Step-by-step explanation:
hope it will help you
We need 75 cm longest tape to measure the three dimensions of the room.
Given:
The length, breadth, and height of a cuboid are 45cm, 85cm, and 115cm respectively.
To Find:
The longest tape which can measure the 3 dimensions exactly.
Solution:
- For finding the length of the longest tape which have to measure three dimensions of the room, we need to find the H.C.F of length, breadth and height of the room.
Length = 45cm
Breadth = 85cm
Height = 115cm
- After factorizing :
825 = 3×5×5×11
675=3×3×3×5×5
450=2×3×3×5×5
We can see that, 3, 5 and 5 are the common prime factors here.
So, H.C.F =3×5×5=75
Hence, we need 75 cm longest tape to measure the three dimensions of the room.
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