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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 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 6:5.3456336040004032 Q 2: 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 68:7.48965044567556 Q 3: 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.4:34:53:45:4 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 5:3.2300300042001800 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.abc:xyzxy:abab:xyxyz:abc 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.3:2727:35:2828:5 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!