Question

Which two solid figures have the same volume?
A. A cone with a base of 6 cm2 and a height of 12 cm
B. An oblique solid with a base of 6 cm2 and a slant height of 12cm
C. An oblique solid with a base of 6 cm2 and a height of 12 cm
D. A rectangular solid with a base of 6 cm2 and a height of 12 cm

Answer 1

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Ill help you in a sec

Answer 2

Volume is expressed as the product of the area of the base and the height. The two solid figures that will have the same volume is the solid in A and D. The rectangular solid will have a volume of 72 m^3 and the oblique solid will, as well, have a volume of 72 cm^3.

Answer 3

@noeliaaramirez

It is not A and D. If you have a cone and a rectangular solid with the same base and height, the cone has 1/3 the volume of the rectangular solid so they cannot have the same volume.

Volume of cone = (1/3)(base)(height)
Volume of rectangular solid = (base)(height)
Volume of oblique solid = (base)(height) *** note: you cannot use slant height here, it must be the vertical height

Using this information, select the correct answer.