Question

A rectangular block of 6 cm by 12 by 15:is cut in to equal cubes find how many cubes cam be made

Answer 1

here is your answer , hope it helps you.

Answer 2

The number of cube can be made is 40.

Step-by-step explanation:

Given : A rectangular block of 6 cm by 12 by 15, is cut in to equal cubes.

To find : How many cubes cam be made ?

Solution :

A rectangular block of 6 cm by 12 by 15.

The volume of the block is $V=l\times b\times h$

$V_b=6\times 12\times 15$

$V_b=1080\ cm^3$

The sides of the largest cube is given by the H.C.F of the dimension of rectangular block.

The prime factors of the numbers,

$6=2\times 3$

$12=2\times 2\times 3$

$15=3\times 5$

The highest common factor of 6,12 and 15 is 3.

Now, the volume of the largest cube is $V=a^3$

$V_c=(3)^3$

$V_c=27\ cm^3$

The number of cubes is given by

$n=\frac{V_b}{V_c}$

$n=\frac{1080}{27}$

$n=40$

The number of cube can be made is 40.

#Learn more

A rectangular block 16cm long has two square faces. A cube of volume 343cm ^3 is cut from rectangular block find the volume of the remaining block

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