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How many sugar cubes of side 1 cm can be packed in a box of dimensions 13 cm x 10 cm x 7 cm?
Verified Answer
How many sugar cubes of side 1 cm can be packed in a box of dimensions...
Volume of bigger box = 4 x 4 x 4 = 64 cm^3
Volume of smaller box = 2 x 2 x2 = 8 cm^3
Required number of cubes = 64/8 = 8
So 8 cubes can be packed
This question is part of UPSC exam. View all Class 8 courses
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How many sugar cubes of side 1 cm can be packed in a box of dimensions...
Dimensions of the Box
To determine how many sugar cubes can fit into the box, we first need to calculate the volume of the box. The box has dimensions of:
- Length: 13 cm
- Width: 10 cm
- Height: 7 cm
Volume of the Box
The volume (V) of the box can be calculated using the formula:
V = Length × Width × Height
- V = 13 cm × 10 cm × 7 cm
- V = 910 cm³
Volume of a Sugar Cube
Each sugar cube has dimensions of 1 cm x 1 cm x 1 cm, hence:
- Volume of one sugar cube = 1 cm³
Calculating the Number of Sugar Cubes
To find out how many sugar cubes can fit into the box, divide the volume of the box by the volume of one sugar cube:
- Number of sugar cubes = Volume of the box / Volume of one sugar cube
- Number of sugar cubes = 910 cm³ / 1 cm³
- Number of sugar cubes = 910
Conclusion
Thus, you can pack 910 sugar cubes of side 1 cm in a box with dimensions 13 cm x 10 cm x 7 cm. This calculation assumes that the cubes are packed without any gaps or spaces in between, ensuring optimal use of the box volume.
To determine how many sugar cubes can fit into the box, we first need to calculate the volume of the box. The box has dimensions of:
- Length: 13 cm
- Width: 10 cm
- Height: 7 cm
Volume of the Box
The volume (V) of the box can be calculated using the formula:
V = Length × Width × Height
- V = 13 cm × 10 cm × 7 cm
- V = 910 cm³
Volume of a Sugar Cube
Each sugar cube has dimensions of 1 cm x 1 cm x 1 cm, hence:
- Volume of one sugar cube = 1 cm³
Calculating the Number of Sugar Cubes
To find out how many sugar cubes can fit into the box, divide the volume of the box by the volume of one sugar cube:
- Number of sugar cubes = Volume of the box / Volume of one sugar cube
- Number of sugar cubes = 910 cm³ / 1 cm³
- Number of sugar cubes = 910
Conclusion
Thus, you can pack 910 sugar cubes of side 1 cm in a box with dimensions 13 cm x 10 cm x 7 cm. This calculation assumes that the cubes are packed without any gaps or spaces in between, ensuring optimal use of the box volume.
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How many sugar cubes of side 1 cm can be packed in a box of dimensions 13 cm x 10 cm x 7 cm?
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How many sugar cubes of side 1 cm can be packed in a box of dimensions 13 cm x 10 cm x 7 cm? 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 How many sugar cubes of side 1 cm can be packed in a box of dimensions 13 cm x 10 cm x 7 cm? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many sugar cubes of side 1 cm can be packed in a box of dimensions 13 cm x 10 cm x 7 cm?.
How many sugar cubes of side 1 cm can be packed in a box of dimensions 13 cm x 10 cm x 7 cm? 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 How many sugar cubes of side 1 cm can be packed in a box of dimensions 13 cm x 10 cm x 7 cm? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many sugar cubes of side 1 cm can be packed in a box of dimensions 13 cm x 10 cm x 7 cm?.
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