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A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
- a)4830
- b)5120
- c)6420
- d)8960
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. ...
Clearly, l = (48 – 16)m = 32 m,
b = (36 – 16)m = 20 m
h = 8 m.
∴ Volume of the box = (32 × 20 × 8) m3
= 5120 m3
b = (36 – 16)m = 20 m
h = 8 m.
∴ Volume of the box = (32 × 20 × 8) m3
= 5120 m3
Most Upvoted Answer
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. ...
To find the volume of the box, we need to calculate the volume of the rectangular sheet and subtract the volume of the four squares that are cut off from the corners.
1. Calculate the volume of the rectangular sheet:
The length of the rectangular sheet is given as 48 m and the width is given as 36 m. To find the volume, we multiply the length, width, and height (which is the same as the width of the sheet).
Volume of the rectangular sheet = Length x Width x Height
= 48 m x 36 m x 36 m
= 62208 m³
2. Calculate the volume of the squares cut off:
The length of each side of the square that is cut off from each corner is given as 8 m. Since there are four corners, we need to calculate the volume of four squares.
Volume of one square = Side x Side x Side
= 8 m x 8 m x 8 m
= 512 m³
Volume of four squares = 4 x 512 m³
= 2048 m³
3. Calculate the volume of the box:
To find the volume of the box, we subtract the volume of the squares cut off from the total volume of the rectangular sheet.
Volume of the box = Volume of the rectangular sheet - Volume of four squares
= 62208 m³ - 2048 m³
= 60160 m³
Therefore, the volume of the box is 60160 m³, which is equivalent to option B.
1. Calculate the volume of the rectangular sheet:
The length of the rectangular sheet is given as 48 m and the width is given as 36 m. To find the volume, we multiply the length, width, and height (which is the same as the width of the sheet).
Volume of the rectangular sheet = Length x Width x Height
= 48 m x 36 m x 36 m
= 62208 m³
2. Calculate the volume of the squares cut off:
The length of each side of the square that is cut off from each corner is given as 8 m. Since there are four corners, we need to calculate the volume of four squares.
Volume of one square = Side x Side x Side
= 8 m x 8 m x 8 m
= 512 m³
Volume of four squares = 4 x 512 m³
= 2048 m³
3. Calculate the volume of the box:
To find the volume of the box, we subtract the volume of the squares cut off from the total volume of the rectangular sheet.
Volume of the box = Volume of the rectangular sheet - Volume of four squares
= 62208 m³ - 2048 m³
= 60160 m³
Therefore, the volume of the box is 60160 m³, which is equivalent to option B.
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A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:a)4830b)5120c)6420d)8960Correct answer is option 'B'. Can you explain this answer?
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A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:a)4830b)5120c)6420d)8960Correct answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:a)4830b)5120c)6420d)8960Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:a)4830b)5120c)6420d)8960Correct answer is option 'B'. Can you explain this answer?.
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