Respuesta :
The volume of the right-angle prism and the right-cylinder shapes is not equal. Thus, option A is correct.
What is Volume?
Volume is given as the scalar quantity that can measure the space occupied by a three-dimensional object.
The volume of the prism is given as:
Volume of prism = Area * Height
The volume of right cylinder is given as:
Volume of cylinder = Area * Height
The given two shapes are congruent to each other, thereby the area of the base of the prism and cylinder are equal. Substituting the height of both the shapes:
The volume of Prism = 10 Area
Volume of right cylinder = 7 Area
The ratio of the volume of both shapes gives:
Volume of Prism/ Volume of Cylinder = 10 Area/ 7 Area
Volume of Prism/ Volume of Cylinder = 1.42
Volume of Prism = 1.42 Volume of Cylinder
Thus, the volume of Prism is 1.42 times more than the volume of a cylinder. Hence, the volume of both shapes is not equal. Thus, option A is correct.
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Answer:
The volume of the prism is not equal to the volume of the cylinder.
Explanation:
According to Cavaleri's principle, if two 3-d figures have the same cross-sectional areas, and their heights are equal, then the volume of those two figures are equal.
We do have the same cross-sectional areas, but not the same height, therefore we can conclude that "the volume of the prism is not equal to the volume of the cylinder."
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