From a rectangular wooden piece of 16 cm length,12 cm wide and 8 cm thick at least how many cubes can be made of equal volume whose number. Is a whole number
Answers
Answer:
at least 3
Step-by-step explanation:
Given that,
length of rectangular wooden piece = 16 cm
width of rectangular wooden piece = 12 cm
thickness of rectangular wooden piece = 8 cm
Formula to use
v = L x W x T
= 16 x 12 x 8
= 1536 cm³
Cubes have equal sides l³
largest cube of integer which is divisible by 1536 is 8
1536/8x8x8 = 1536/512 = 3
Answer:
At least - 24 cubes
Step-by-step explanation:
Rectangular wooden piece
Length = 16 cm
Width = 12 cm,
Thickness = 8 cm
Weneed to divide the piece in cubes with equal volume with side as a whole number.
This is possible only when, all the three dimensions of the piece are exact multiple of the dimension of the side of the cube.
∴ Maximum whole number, common between 8, 12 and 16 = 4
∴ Cube with side = 4 cm can be cut from the rectangle.
NUmber of cubes cut = Volume of the rectangular piece ÷ Volume of the cube
∴ Number of cubes = (16 × 12 × 8) ÷ (4 × 4 × 4)
Number of cubes cut = 24