Question

A wooden block measures 36 cm × 25 cm × 16 cm how many block of size 9 cm × 5 cm × 8 cm can be cut out of it if no wood is wasted away

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Answer 1

Answer:

40 Small Blocks can be cut out of Big Wooden Block

Step-by-step explanation:

We Have :-

Wooden block of measure 36 cm × 25 cm × 16 cm

Block of measure 9 cm × 5 cm × 8 cm

To Find :-

How many small blocks can be cut out of bigger wooden block

Formula Used :-

Volume of Rectangle = Length * Breadth * Height

Solution :-

Volume of Big Wooden Block = 36 * 25 * 16

                                                  = 14400 cm³

Volume of Small Block = 9 * 5 * 8

                                      = 360 cm³

Pieces of Small Block = 14400 / 360

                                    = 40

40 Small Blocks can be cut out of Big Wooden Block

Answer 2

Answer:

$\huge\underline\textsf{Answer = 40 }$

$\tt{Given}\begin{cases}\sf{Wooden \:block \:of \:measure\: 36cm×25cm×16cm} \\ \sf{block\: of \:size \:9cm×5cm×8cm}\end{cases}$

$\large\underline{\underline{\texttt{\purple{To Find }}}}$

$\small\sf{ How \:many\: block\: of\: size \:wasted\: away }$

$\huge\underline\textsf{Explantion:- }$

$\rightarrow\bf volume \: of \: rectangle = l \times b \times h$

$\rightarrow\bf volume \: of \: big \: wooden \: block = 36 \times 25 \times 16$

$\longrightarrow\bf \:\:\:\:\:\:\:\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: =1440cm {}^{3}$

$\rightarrow\bf volume \: of \: small \: blocks = 9 \times 5 \times 8$

$\longrightarrow\bf \:\:\:\:\:\:\:\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: =360cm {}^{3}$

$\rightarrow\bf pieces \: of \: small \: block = \frac{\cancel{14400}}{\cancel{360} }$

$\huge\longrightarrow\bf 40$