Question:

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will be needed to for

2 thoughts on “Question:<br /><br />Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will be needed to for”

1. Answer:

   20 cuboids

   Explanation:

   In the given question,

   Parikshit converts smaller cuboids to form a bigger cube.

   So, first let’s find out the volume of cuboid.

   Volume of cuboid = Length × Breadth × Height

   ⇒ Volume of cuboid = 5 cm × 2 cm × 5 cm

   ⇒ Volume of cuboid = 50 cm³

   For finding volume of cube,

   Volume of cube = Side³

   Remember:

   For finding the side of cube take the LCM of given sides of cuboid.

   Here, LCM of 5, 2, 5 is 10

   Now, the volume of cube = Side³

   → Volume of cube = (10)³

   → Volume of cube = 1000 cm³

   Many cuboids were combined to form a cube.

   So,

   Let the number of cuboids required be n

   Volume of cuboid × n = Volume of cube

   ⇒ 50 × n = 1000

   ⇒ n = 1000 ÷ 50

   ⇒ n = 20

   Therefore, 20 cuboids are needed to form a cube.

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2. Answer:

   [tex] \huge\bf \color{blue}20 \: Cuboids[/tex]

   Step-by-step explanation:

   [tex] \bf \pink{Hello!}[/tex]

   [tex] \bf \: Least \: Length \: of \: Cube =10[/tex]

   [tex] \bf \: Volume \: of \: cube = {10}^{3} =1000[/tex]

   [tex] \bf \: Dimensions \: of \: cuboid =5 \times 2 \times 5[/tex]

   [tex] \bf \: Volume \: of \: cuboid =5 \times 5 \times 2=50[/tex]

   So number of Cuboid required to make a cube = 1000/50 = 20 cuboids

   ☘ Thus, 20 cuboids of dimensions 5×2×5 are, required to make a cube

   [tex] \huge \bf\pink{Hope \: helped!!} \: ࿐ \: [/tex]

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