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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 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.
5:4
4:5
4:3
3:4

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.
55:204
204:55
213:54
54:213

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.
3:16
16:3
2:17
17:2

Q 5: The dimensions of two cuboids are x cm, y cm, z cm and a cm, b cm, c cm. Find the ratio of the volumes of the two cuboids.
ab:xy
xyz:abc
abc:xyz
xy:ab

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.
28:5
5:28
3:27
27:3

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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