![]() A box has thin walls, so we can consider that its volume is the same as its capacity. The space inside a box is called its capacity, that is, the volume of empty space inside the box that can contain something, here rice. Which box should he use? AnswerĪ box is a cuboid. He has one box which is a cuboid with dimensions of 35 cm,Īnd 21 cm and another box which is a cube with length 22 cm. Therefore, the correct statement is B) The volume of the pyramid is one-third the volume of the rectangular prism.Example 3: Comparing the Capacities of BoxesĪ man needs to store 16 170 cm 3 of rice in a container. Given that Vr = 360 cubic units and Vp = 120 cubic units, we have Vp = (1/3) x Vr. Therefore, the answer is D) 150 cubic units.ĥ) Let Vr be the volume of the rectangular prism and Vp be the volume of the pyramid. Therefore, the volume of the rectangular prism is 25 sq units x 6 units = 150 cubic units. Since the pyramid and the rectangular prism have the same base and height, the area of the base of the rectangular prism is 25 sq units. Therefore, the answer is A) 80 cubic units.Ĥ) The volume of the pyramid is (1/3) x 25 sq units x 6 units = 50 cubic units. ![]() Since the volume of the pyramid is (1/3) times the volume of the rectangular prism, we have V = (1/3) x 240 = 80 cubic units. Then, the volume of the rectangular prism plus the volume of the pyramid is 240 + V cubic units. Therefore, the answer is 1/3.ģ) Let V be the volume of the pyramid. The ratio of the volume of the pyramid to the rectangular prism is 24/72 = 1/3. ![]() The volume of the pyramid is (1/3) x 6 cm x 4 cm x 3 cm = 24 cubic cm. mit is three times the volume of the rectangular prism CAġ) The correct statement is B) The volume of the pyramid is one-third the volume of the rectangular prism.Ģ) The volume of the rectangular prism is 6 cm x 4 cm x 3 cm = 72 cubic cm. he volume of the pyramid is equal to the volume of the rectangular prism. he volume of the pyramid is one-third the volume of the rectangular prism. I a rectangular prism with the same base and height is placed below the pyramid, what will be the volume of the rectangular prism? 175 cubic units 100 cubic units 1125 cubic units 150 cubic units 5) If the volume of a rectangular prism is 360 cubic units and the volume of a amid with the same base and height is 120 cubic units, what is the relationship ween their volumes? The volume of the pyramid is half the volume of the rectangular prism. If a pyramid with the same base and height is placed on top of it, what will be the volume of the pyramid? A) 80 cubic units B) 120 cubic units C) 160 cubic units D) 240 cubic units 4) A pyramid has a base with an area of 25 square units and a height of 6 units. 3) A rectangular prism has a volume of 240 cubic units. D) The volume of the pyramid will be twice the volume of the rectangular prism. volume of the pyramid will be equal to in volume of the rectangular prism. me of the pyramid will be one-third the volume of the rectangular prism. 2) If a rectangular prism has a length of 6 cm, width of 4 cm, and height of 3 cm, and a pyramid with the same base and height is placed on top of it, what will be the ip between their volumes? me of the pyramid will be half the volume of the rectangular prism. D) The volume of the pyramid is twice the volume of the rectangular prism. C) The volume of the pyramid is equal to the volume of the rectangular prism. B) The volume of the pyramid is one-third the volume of the rectangular prism. the volume of a rectangular prism and a pyramid with the same base and height? 1) Which of the following statements accurately describes the relationship between A) The volume of the pyramid is half the volume of the rectangular prism.
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