Question

Chapter = 17
Surface area and Volume of solids

Question : Find the number of cubes of volume 8 cu. cm. required to build a cuboid of length 8 cm, breadth 4 cm, and height 6 cm.
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Guys please help me _/\_​​
i am having a test on Monday
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Answer 1

Step-by-step explanation:

Solution:

We know that the volume of a cube of side a cm

$\sf=a^ 3 cu .cm$

Given that,

$\sf \: a ^ 3 = 8 = 2 ^ 3 .$

Thus,

the side of the ube = 2 cm

No. of cubes of edge 2 cm required for making the length of the cuboid

$\sf = \frac{8}{2} = 4 cubes.$

No. of cubes required for making the breadth of the cuboid

$\sf = \frac{4}{2} = 2 cubes$

Hence,

the base of the cuboid is made up of

=4×2=8 cube.

No. of cubes required for the height of the cuboid

$\sf= \frac{6}{2} = 3 cubes$

Hence,

to form the required cuboid, we will place 3 layers of 8 cubes.

So, total no. of cubes of side 2 cm required for making the cuboid = 3 × 8 = 24cubes .

Therefore,

24 cubes of volume 8 cu. cm. are required to build a cuboid of length 8 cm, breadth 4 cm, and height 6cm

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Hope it will help you sis ^_^

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