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### Grade 7 - Mathematics9.58 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 68:7.48964567504556 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.5:44:54:33:4 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.55:204204:55213:5454:213 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.3:1616:32:1717:2 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:xyxyz:abcabc:xyzxy: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.28:55:283:2727:3 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!