Question

How many 3 metre cubes can be cut from a cuboid of
dimension 10 m. X 12 m. X 9 ni.
Solution Volume of cube =
3
m
(1)
Volume of cuboid =
m.
Number of cubes = volume of cuboid - volume of cube​

Answer 1

Answer:

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Answer 2

Correct Question:-

• How many 3 metre cubes can be cut from a cuboid of dimension 10 m × 12 m × 9 m

Given:-

• Dimensions of cuboid = 10m×12m×9m
• Edge of cube = 3m

To find:-

• No. of cubes that can be cut from the cuboid

$\large{ \underbrace{ \underline{ \sf{Understanding \: the \: question : - }}}}$

• In the question, we have to find the number of 3 metres cube can be cut from a cuboid measuring 10m×12m×9m.

• We want to get the number of cubes that can be obtained from the cuboid and this is only possible by dividing the volume of cuboid and cube.

Solution:-

• Formulas used here:-

⇒Volume of cuboid = length ×breadth ×height

⇒Volume of cube= a³

First we will find the volume of cuboid:-

$\: \: \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \red \implies \: \sf \: volume \: of \: cuboid = 10 \times 12 \times 3$

$\: \: \: \: \: \: \: \: \: \: \red{: \implies} \sf \: v_1 = 1080 {m}^{3}$

• Therefore the volume of cuboid is 1080m³.

Now we will find the volume of cube:-

$\: \: \: \: \: \: \: \: \: \: \: \pink{: \implies} \: \: {3}^{3}$

$\: \: \: \: \: \: \: \pink{ : \implies} \: 27 \: m ^{3}$

$\boxed{ \sf{No. \: of \: cubes \: that \: can \: be \: obtained \: from \: cuboid = \frac{v_1}{v _2} }}$

$\: \: \: \: \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \purple{ : \implies} \: \frac{1080}{23}$

$\\ \: \: \: \: \: \: \: \: \: \purple{ : \implies} \: 40$

$\boxed{ \purple{ \sf{ \underline{ \therefore \: 40 \: cubes \: can be \: obtained \: form \: the \: cuboid \: of \: dimension \: 10 m × 12 m × 9 m}}}}$

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