Question

The length, breadth and height of a container are 850cm,650cm and 325cm respectively. Find the longest tape which can measure the dimensions of the container fully.

Answer 1

Answer:

the longest tape is 25 cm.

Step-by-step explanation:

Length = 850 cm

Breadth = 650 cm

Height = 325 cm

Longest tape = HCF of 850, 650, and 325 = 5 × 5 = 25 cm

Therefore, the longest tape is 25 cm.

Answer 2

Given:

The length, breadth and height of a container are 850cm,650cm and 325cm respectively.

To Find:

The longest tape that can measure the dimensions of the container fully.

Solution:

To find the length of the longest tape, we have to find the H.C.F of the given dimensions.

According to the question:

Length = 850 cm

850 = 2×5×5×17       (Factorizing)

Breadth = 650 cm

650 = 2×5×5×13

Height = 325 cm

325 = 5×5×13

So, the common factors are

5×5 = 25

Hence,  the longest tape which can measure the dimensions of the container fully is 25 cm.