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Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5cm. How many such cuboids will he need to form a cube?
can anyone over here can explain the method with answer?
can anyone over here can explain the method with answer?
Most Upvoted Answer
Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5cm. How m...
Calculating the Number of Cuboids Needed to Form a Cube
To form a cube using smaller cuboids, we need to calculate how many of these smaller cuboids will be required. In this case, Parikshit has made cuboids of sides 5 cm, 2 cm, and 5 cm.
Calculating the Volume of the Cuboid
First, we need to calculate the volume of one cuboid that Parikshit has made. The volume of a cuboid is given by the formula:
Volume = length x width x height
In this case, the dimensions of the cuboid are 5 cm, 2 cm, and 5 cm. Therefore, the volume of one cuboid is:
Volume = 5 cm x 2 cm x 5 cm = 50 cubic cm
Calculating the Volume of the Cube
Next, we need to calculate the volume of the cube that Parikshit wants to form using these smaller cuboids. Since a cube has all sides equal, the volume of a cube is given by the formula:
Volume = side x side x side
In this case, the side of the cube will be the same as the side of the smaller cuboid, which is 5 cm. Therefore, the volume of the cube is:
Volume = 5 cm x 5 cm x 5 cm = 125 cubic cm
Determining the Number of Cuboids Needed
To determine the number of smaller cuboids needed to form the cube, we divide the volume of the cube by the volume of one cuboid:
Number of cuboids = Volume of the cube / Volume of one cuboid
Number of cuboids = 125 cubic cm / 50 cubic cm = 2.5
Since we cannot have a fraction of a cuboid, Parikshit will need to use 3 smaller cuboids to form a cube.
To form a cube using smaller cuboids, we need to calculate how many of these smaller cuboids will be required. In this case, Parikshit has made cuboids of sides 5 cm, 2 cm, and 5 cm.
Calculating the Volume of the Cuboid
First, we need to calculate the volume of one cuboid that Parikshit has made. The volume of a cuboid is given by the formula:
Volume = length x width x height
In this case, the dimensions of the cuboid are 5 cm, 2 cm, and 5 cm. Therefore, the volume of one cuboid is:
Volume = 5 cm x 2 cm x 5 cm = 50 cubic cm
Calculating the Volume of the Cube
Next, we need to calculate the volume of the cube that Parikshit wants to form using these smaller cuboids. Since a cube has all sides equal, the volume of a cube is given by the formula:
Volume = side x side x side
In this case, the side of the cube will be the same as the side of the smaller cuboid, which is 5 cm. Therefore, the volume of the cube is:
Volume = 5 cm x 5 cm x 5 cm = 125 cubic cm
Determining the Number of Cuboids Needed
To determine the number of smaller cuboids needed to form the cube, we divide the volume of the cube by the volume of one cuboid:
Number of cuboids = Volume of the cube / Volume of one cuboid
Number of cuboids = 125 cubic cm / 50 cubic cm = 2.5
Since we cannot have a fraction of a cuboid, Parikshit will need to use 3 smaller cuboids to form a cube.
Community Answer
Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5cm. How m...
Hello!
Least Length of Cube =10
Volume of cube =10^3=1000
Dimensions of cuboid =5*2*5
Volume of cuboid =5*5*2=50
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
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Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5cm. How many such cuboids will he need to form a cube?can anyone over here can explain the method with answer?
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Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5cm. How many such cuboids will he need to form a cube?can anyone over here can explain the method with answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5cm. How many such cuboids will he need to form a cube?can anyone over here can explain the method with answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5cm. How many such cuboids will he need to form a cube?can anyone over here can explain the method with answer?.
Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5cm. How many such cuboids will he need to form a cube?can anyone over here can explain the method with answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5cm. How many such cuboids will he need to form a cube?can anyone over here can explain the method with answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5cm. How many such cuboids will he need to form a cube?can anyone over here can explain the method with answer?.
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