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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 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.
3456
4032
4000
3360

Q 2: The dimensions of two cuboids are 2.5 cm, 2.4 cm, 2.0 cm and 1.5 cm, 2.0 cm, 5.0 cm. Find the ratio of the volumes of the two cuboids.
3:4
4:5
4:3
5:4

Q 3: 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.
213:54
54:213
55:204
204:55

Q 4: 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.
4200
3000
2300
1800

Q 5: 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.
3:16
16:3
2:17
17:2

Q 6: 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

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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