Question

Amrita, during her trek in a jungle finds a rectangular log of wood measuring 6cm x 12cm x 15cm. She wants to cut this log into exact number of wooden cubes. What is the number of such cubes of equal size that she can get by using the entire log.

Answer 1

Answer:

she can get 1080 numbers of cubes by cutting the wooden log

Step-by-step explanation:

Volume of the wooden log =  6 x 12 x 15 = 1080 cm³

Minimum volume of cube she can cut = 1 cm³ = 1 x 1 x 1

let n number of cubes formed, so that

n x volume of small cube = volume of the wooden log

=> n x 1 = 1080

=> n = 1080

Hence she can get 1080 numbers of cubes by cutting the wooden log.

Answer 2

Solution:

As rectangular log of wood is considered to be as cuboid

So,

length = 6 cm

Breadth = 12 cm

Height = 15 cm

Volume of cuboid =
$l \: \times b \times h \\ \\ = 6 \times 12 \times 15 \\ \\ = 72 \times 15 \\ \\ = 1080 {cm}^{3}$
Now this log is to be converted into equal cubes,volume of cube =
${a}^{3}$

Now,let she made cubes of 1 cm side,than n cubes can be made

$n {1}^{3} = 1080 \\ \\ n = {1080}$

So,she can made 1080 cubes.