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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
9.58 Ratio of Two Cuboids

Example:
The dimensions of two cuboids are 10 cm, 8 cm, 6 cm and 15 cm, 13 cm, 12 cm. Find the ratio of the volumes of the two cuboids.

Solution:
Let us assume that V1 and V2 are the volumes of the cuboids, then
V1 = 10 * 8 * 6
V2 = 15 * 13 * 12
Hence V1 / V2 = (10 * 8 * 6) / (15 * 13 * 12)
V1 / V2 = 8/39
Therefore the ratio of the volumes is V1:V2 = 8:39


Directions: Read the above example carefully and answer the following questions. Also write at least ten examples of your own.
Q 1: The dimensions of one of the two cuboids is 9 cm, 8 cm, 7 cm. Find the volume of the other cuboid if the ratio of the volumes of the two cuboids is given by 68:7.
4896
4567
504
556

Q 2: The dimensions of one of the two cuboids are 20 cm, 15 cm, 10 cm. Find the volume of the other cuboid if the ratio of the volumes of the two cuboids is given by 5:3.
3000
2300
1800
4200

Q 3: The dimensions of two cuboids are 16 cm, 14 cm, 12 cm and 10 cm, 8 cm, 6 cm. Find the ratio of the volumes of the two cuboids.
27:3
3:27
28:5
5:28

Q 4: The dimensions of two cuboids are 17 cm, 16 cm, 15 cm and 10 cm, 8 cm, 6 cm. Find the ratio of the volumes of the two cuboids.
2:17
17:2
16:3
3:16

Q 5: The dimensions of one of the two cuboids are 18 cm, 16 cm, 14 cm. Find the volume of the other cuboid if the ratio of the volumes of the two cuboids is given by 6:5.
4032
3360
4000
3456

Q 6: The dimensions of two cuboids are 18 cm, 17 cm, 16 cm and 12 cm, 11 cm, 10 cm. Find the ratio of the volumes of the two cuboids.
54:213
213:54
204:55
55:204

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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