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normarjohnson
01.07.2019 •
Mathematics
Ablock of wood is 75 cm × 50 cm × 40 cm. how many cubes of side 0.1 m can be carved out of it?
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Ответ:
Answer
Find out how much of cubes of side 0.1 m can be carved out of it .
To prove
Formula
Volume of a cube = a³
where a is the sides of a cube.
As given
Sides of a cube is 0.1m
As
1 meter = 100 cm
sides of a cube in cm = 0.1 × 100
= 10 cm
put in the formula
Volume of a cube = 10 × 10 × 10
= 1000 cm³
As Given
A Block of the wood is 75cm × 50cm × 40cm .
But as volume of the cube is the multiple of 10 .
thus we take dimensions of the wooden block be 70cm × 50 cm × 40 cm ( instead of 75cm × 50cm × 40cm ) than the volume of the wooden block become the multiple of 10.
Formula
Volume of the wooden block = Length × Breadth × Height
Put the value
Volume of the wooden block = 70 × 50 × 40
= 140000
Let us assume that the number of cubes curved out be x.
Volume of the wooden block = x × volume of cube
140000 = x × 1000
x = 140
Therefore the number of cubes curved out from the wooden block are 140.
Ответ:
8 = x
Step-by-step explanation: Okay use this formula first y/x = k
You plug in y and x.
y/x = k
-8/-2 = k
4 = k
To get x when y = 32 you use this formula.
y/k = x
Plug in y = 32 and k from the last problem.
y/k = x
32/4 = k
8 = x
I hope this helped! :D