Question

0Explain the following analogyIn terms of formulas used to compute volume, a pyramid is to a rectangular solid just as a cone is to a cylinderChoose the correct answer below.OA. The volume of a rectangular solid is always less than the volume of a pyramid with tho samo baso and height, just as the volume of a cylinder is always lossthan the volume of a cone with the same base and heightO B. The volume of a pyramid is equal to the volume of a rectangular solid with the same base and height, just as the volume of a cone is the equal to the volumeof a cylinder with the same base and heightOC. The volume of a pyramid is one-third the volume of a rectangular solid with the same base and height, just as the volume of a cone is one-third the volume of acylinder with the same base and heightOD. The volume of a rectangular solid is one-third the volume of a pyramid with the same base and height, just as the volume of a cylinder is one-third the volumeof a cone with the same base and heightClick to select your answer

Answer 1

We have

The formula of the volume of a rectangular prism

$V=l_{}\cdot w\cdot h$

the formula of the volume of a pyramid

$V=\frac{1}{3}\cdot l\cdot w\cdot h$

The formula of the volume of a cylinder is

$V=\pi\cdot r^2\cdot h$

The formula of the volume of a cone is

$V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h$

As we can see following the formulas above

C. The volume of a pyramid is one-third the volume of a rectangular solid with the same base and height, just as the volume of a cone is one-third the volume of a

cylinder with the same base and height