Question

Find the edge of cube whose volume equals that of a cuboid whose dimensions are36cm,48cm,27cm

Answer 1

I WILL BE GLAD TO ASSIST YOU, LET'S START-

Here, it is given that -
Volume of cuboid = Volume of cube
Let us first find out the volume of cuboid, whose dimensions are given -
Length (l) = 48 cm
Breadth (b) = 36 cm
Height (h) = 27 cm
We know the volume of cuboid = l*b*h
So, the volume is = (48*36*18) cm³ = 46656 cm³,
Now, let use find the side of the cube,
Let, the side be = a
We know the formula of volume of cube = a³
∴ Side of the cube -
a³ = 46656 cm³
⇒ a = ∛46656
⇒ a = 36
∴ The side of the cube is 36 cm.
And that's the answer.!

Answer 2

hello.... ^_^

here is your answer........

given :-

dimensions of cuboid = 36cm, 48cm, 27cm

volume of cube = volume of cuboid

but volume or edge of the cube is not given so,

let edge of the cube be ' x '

$volume \: of \: cube \: = {x}^{3}$

volume of cuboid = length X breadth X height

$= 36 \times 48 \times 27 \\ = 46656 {cm}^{3}$

according to the question volume of cube = volume of cuboid

$= > {x}^{3} = 46656 \\ = > x = \sqrt[3]{46656} \\ = > x = 36cm$

hence edge of cube = 36cm

CHECK VOLUME OF CUBE = 36^3= 36 X 36 X 36= 46656 cm cube.

VOLUME OF CUBOID = 36 X 48 X 27= 46656 cm cube.

so, volume of cube = volume of cuboid

hope this helps........ ^_^