Which two solid figures have the same volume?A.A rectangular solid with a base of 4 cm2 and a height of 8 cmB.An oblique solid with a base of 4 cm2 and a slant height of 8 cmC.An oblique prism with a base of 4 cm2 and a height of 8 cmD.A cone with a base of 4 cm2 and a height of 8 cmSUBMITarrow_backPREVIOUS
Question
Which two solid figures have the same volume?A.A rectangular solid with a base of 4 cm2 and a height of 8 cmB.An oblique solid with a base of 4 cm2 and a slant height of 8 cmC.An oblique prism with a base of 4 cm2 and a height of 8 cmD.A cone with a base of 4 cm2 and a height of 8 cmSUBMITarrow_backPREVIOUS
Solution
The volume of a solid figure is determined by the area of its base multiplied by its height.
A. The volume of the rectangular solid is 4 cm^2 * 8 cm = 32 cm^3.
B. The volume of an oblique solid is not necessarily determined by the base and slant height, so we cannot determine the volume with the given information.
C. The volume of an oblique prism is also determined by the area of the base multiplied by the height, so its volume is 4 cm^2 * 8 cm = 32 cm^3.
D. The volume of a cone is 1/3 the area of the base multiplied by the height, so its volume is 1/3 * 4 cm^2 * 8 cm = approximately 10.67 cm^3.
Therefore, the two solid figures that have the same volume are A. the rectangular solid and C. the oblique prism.
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