Question

cuboid of length 24cm and volume 768cm^3 the width and hight are not equal.give a pair of possible values for their length.​

Answer 1

Possible values of dimensions are (24,16,2) or (24,8,4)

Explanation:

We are given the volume of the Cuboid and length . We are required to find the possible values of width and height from this information.

Let us say that the width is x and height is y

Length = 24

Volume of a cuboid = length * width * height

Volume = 768

768=24*x*y

`xy=(768)/(24)\\xy=32\\`

xy=32

Now the possible factors of 32

32=1*32 ( Which shall not be taken into consideration as length is already given as 24 and width or height can not be more length)

32=2*16

32=4*8

Hence the possible values width are 8, 16 and that of height 4 and 2

Hence the possible values of dimensions are (24,16,2) or (24,8,4)