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Mariulka [41]
3 years ago
11

Hamad made a cuboid of size 2cm X 3cm X 4cm. How many such cuboids will be required to make a cube?

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0

Answer:

576 cuboids

Step-by-step explanation:

Let

x -----> the length side of the cube

n -----> number of cuboids that are needed

we know that

The volume of the cuboid is equal to

V=(2)(3)(4)=24\ cm^{3}

The volume of the cube is equal to

V=x^{3}

Find the number of cuboids that are needed

(n)24=x^{3}}

n*24 must be a perfect cube

so

The minimum value that satisfied n to make n*24 a perfect cube is n=576

576*24=13,824=24^{3}

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Sedaia [141]

Answer:

The amount of steel used = 94.38 m^{2}

Step-by-step explanation:

Height of the tank = 4.5 m.

Diameter of the tank = 4.2 m.

But,

radius = \frac{diameter}{2}

           = \frac{4.2}{2}

radius  = 2.1 m

Total surface area of a cylinder = 2\pirh + 2\pir^{2}

                                      = 2\pir(r + h)

                                      = 2 x \frac{22}{7} x 2.1 (2.1 + 4.5)

                                      = 44 x 0.3 (6.6)

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Total surface area of a cylinder = 87.12 m^{2}

Since \frac{1}{12} of the steel was wasted, then;

\frac{1}{12} x 87.12 = 7.26 m^{2}

Actual area of steel sheet used = 87.12 + 7.26

                                                     = 94.38 m^{2}

Thus, 94.38 m^{2} of steel was used in making the tank.

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3 years ago
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