Which two solid figures have the same volume?A.A cone with a base of 6 cm2 and a height of 12 cmB.A rectangular solid with a base of 6 cm2 and a height of 12 cmC.An oblique solid with a base of 6 cm2 and a slant height of 12cmD.An oblique prism with a base of 6 cm2 and a height of 12 cm
Question
Which two solid figures have the same volume?A.A cone with a base of 6 cm2 and a height of 12 cmB.A rectangular solid with a base of 6 cm2 and a height of 12 cmC.An oblique solid with a base of 6 cm2 and a slant height of 12cmD.An oblique prism with a base of 6 cm2 and a height of 12 cm
Solution
The two solid figures that have the same volume are:
B. A rectangular solid with a base of 6 cm2 and a height of 12 cm D. An oblique prism with a base of 6 cm2 and a height of 12 cm
Here's why:
The volume of a rectangular solid (or a prism, including an oblique prism) is found by multiplying the area of the base by the height. So for both B and D, the volume would be 6 cm2 * 12 cm = 72 cm3.
The volume of a cone is found by multiplying the area of the base by the height and then dividing by 3. So for A, the volume would be (6 cm2 * 12 cm) / 3 = 24 cm3, which is not the same as B and D.
The volume of an oblique solid is not necessarily the same as a prism or a rectangular solid, because it depends on the shape of the base and the angle of the sides. Without more information, we can't say that C has the same volume as any of the others.
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