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Grade 7 - Mathematics
9.60 Word Problems on Cuboid - I

Example:
The length and width of a rectangular metal sheet are 40 cm and 25 cm respectively. Four squares each of side 5 cm are cut and removed from four corners of the sheet, and the remainder is folded to form a cuboid(without the top face). Find the volume.

Solution:

In the given rectangular sheet has length and breadth equal to 40 cm and 25 cm respectively.
If four corner squares of the side 5 cm are removed and rest is folded into a cuboid.
Then the length and width of the cuboid is reduced by twice the side of square.
Therefore the length of the cuboid = 40 - (2 * 5)
= 40 - 10
length (l)= 30 cm.
The width of the cuboid = 25 - (2 * 5)
= 25 - 10
width (b) = 15 cm.
The height of the cuboid itself is equal to the side of the square removed.
Therefore the height of the cuboid = 5 cm.
Hence the volume of the cuboid is V = l * b * h
V = 30 * 15 * 5
Volume = 2250 cubic centimeters.


Directions: Read the above example carefully and answer the following questions. Also make 10 different examples of your own and illustrate each by making cuboids.

Name: ___________________

Date:___________________

Grade 7 - Mathematics
9.60 Word Problems on Cuboid - I

Q 1: The length and width of a rectangular metal sheet are 30 cm & 25 cm respectively. Four squares each of side 5 cm are cut and removed from four corners of the sheet, and the remainder is folded to form a cuboid(without the top face). Find the volume.
1400 cubic centimeters
1600 cubic centimeters
1500 cubic centimeters
1800 cubic centimeters

Q 2: The length and width of a rectangular metal sheet are 20 cm & 16 cm respectively. Four squares each of side 4.5 cm are cut and removed from four corners of the sheet, and the remainder is folded to form a cuboid(without the top face). Find the volume.
348.5 cubic centimeters
346.5 cubic centimeters
345.5 cubic centimeters
346.5 cubic centimeters

Q 3: The width of a rectangular metal sheet is 9 cm. Four squares each of side 2 cm. are cut and removed from four corners of the sheet, and the remainder is folded to form a cuboid(without the top face). Find the length of the rectangular metal sheet if its volume is given by 90 cubic centimeters.
18 centimeters
11 centimeters
19 centimeters
13 centimeters

Q 4: The length of a rectangular metal sheet is 35 cm. Four squares each of side 5 cm are cut and removed from four corners of the sheet, and the remainder is folded to form a cuboid(without the top face). Find the width of the rectangular sheet if its volume is given by 2500 cubic centimeters.
26 centimeters
24 centimeters
30 centimeters
35 centimeters

Q 5: The width of a rectangular metal sheet is 40 cm. Four squares each of side 6 cm are cut and removed from four corners of the sheet, and the remainder is folded to form a cuboid(without the top face). Find the length of the rectangular sheet if its volume is given by 5544 cubic centimeters.
54 centimeters
43 centimeters
45 centimeters
44 centimeters

Q 6: The length of a rectangular metal sheet are 25 cm. Four squares each of side 4.5 cm are cut and removed from four corners of the sheet, and the remainder is folded to form a cuboid(without the top face). Find the width of the rectangular metal sheet if its volume is given by 792 cubic centimeters.
32 centimeters
30 centimeters
20 centimeters
25 centimeters

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Question 8: This question is available to subscribers only!


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