Question

how many 6m cubes can be cut from a cuboid of measuring18m ×15m×8m

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Answer 1

Answer:

please mark my answer as brainlist.

Step-by-step explanation:

SOLUTION:−

Given that the side of cube =6m

And cuboid dimensions

18m×15m×8

We have to find how many cubes can be cutted from cuboidal box

\boxed{\sf{Volume\:of\:cube=side{}^{3}}}

Volumeofcube=side

3

\boxed{\sf{Volume\:of\:cuboid=l\times b\times h}}

Volumeofcuboid=l×b×h

First find the volume of cube

\bf\underline{According\:To\: Question:-}

AccordingToQuestion:−

\begin{gathered}\sf \implies Volume\:of\:cube=(6){}^{3}\\ \\ \sf\implies Volume =216m{}^{3}\end{gathered}

⟹Volumeofcube=(6)

3

⟹Volume=216m

3

Now the volume of cuboid

\begin{gathered}\sf\implies Volume\:of\:cuboid=18\times 15\times 8\\ \\ \sf\implies Volume=18\times 120\\ \\ \sf\implies Volume=2160m{}^{3}\end{gathered}

⟹Volumeofcuboid=18×15×8

⟹Volume=18×120

⟹Volume=2160m

3

We have to find the number of cubes that cutted from cuboid

\boxed{\sf{No.\:of\:cubes=\frac{Volume\:of\:cuboid}{Volume\:of\:cube}}}

No.ofcubes=

Volumeofcube

Volumeofcuboid

\begin{gathered}\sf\implies No.\:of\:cubes=\cancel{\frac{2160}{216}}\\ \\ \sf\implies No.\:of \:cubes=10\end{gathered}

⟹No.ofcubes=

216

2160

⟹No.ofcubes=10

10 cubes cutter from cuboidal box

\underline{\boxed{\sf{\purple{Number\:of\:cubes=10}}}}

Numberofcubes=10

Answer 2

Answer:

first multiply cuboid side and divide into cube area 18×15×8÷6=