Question

There is a Wooden Block in shape of a Cuboid of Dimensions 50*40*30cm. What is the minimum number of cubes that can be cut out from this cuboid ?​

Answer 1

Given: There is a Wooden Block in shape of a Cuboid of Dimensions 50*40*30 cm.

To find: What is the minimum number of cubes that can be cut out from this cuboid ?​

Solution:

• Now the dimension of cuboid is 50*40*30 cm.

• Let there be n cubes, then the side of the n cubes (in cm) must be a divisor of 50, 40, and 30.

• The greatest common divisor is 10, so 10 cm is the side measure of the largest cubes we can make.

• Now volume of cuboid = n(volume of cube)

                   50 x 40 x 30 = n(10 x 10 x 10)

                   60000 = n x 1000

                   n = 60

Answer:

              So the number of cubes are 60.

Answer 2

Answer:

Given: There is a Wooden Block in shape of a Cuboid of Dimensions 50*40*30 cm.

To find: What is the minimum number of cubes that can be cut out from this cuboid ?

Solution:

Now the dimension of cuboid is 50*40*30 cm.

Let there be n cubes, then the side of the n cubes (in cm) must be a divisor of 50, 40, and 30.

The greatest common divisor is 10, so 10 cm is the side measure of the largest cubes we can make.

Now volume of cuboid = n(volume of cube)

                   50 x 40 x 30 = n(10 x 10 x 10)

                   60000 = n x 1000

                   n = 60

Answer:

              So the number of cubes are 60.

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