Question

eight identical cuboidal wooden blocks are stacked on top of other the total volume of solid is 128 centimetre cube if the height of each block is 1 cm and base is square find the dimension of each block​

Answer 1

Answer: 1*4*4 cm³

Step-by-step explanation:

1 block volume= 1*s*s = s² where s is sidelength of square base.

If the volume of 8 block is 128 cm³

Then the volume of one block is 16.

s²=16. s=4.

Dimensions are 1 by s by s

Or 1 by 4 by 4

Answer 2

The dimension of each block​ is$4cm \times 4 cm \times 1 cm$

Step-by-step explanation:

We are given that the base of block is square

Let the length of base be x

So, Length = x

Breadth = x

height = 1 cm

So,volume of 1 block =$Length \times Breadth \times Height = x \times x \times 1 = x^2$

Volume of 8 blocks =$8x^2$

We are given that the total volume of solid is 128 centimetre cube

So,$8x^2=128$

$x^2=\frac{128}{8}$

$x=\sqrt{\frac{128}{8}}$

x=4

Hence the dimension of each block​ is$4cm \times 4 cm \times 1 cm$

#Learn more:

The volume of a wooden block is 324 cm cube If the height and length of the block is 10mm and 3 cm respectively.find it's width

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