Question

One advantage of the prismoidal formula is that you can use it to A. calculate surface area for cylindrical rings. B. estimate the surface area of edged non-prismoidal solids. C. determine volumes of prismoids and estimate volumes of edged non-prismoidal solids. D. calculate volume of spheres.

Answer 1

The prismoidal formula is used to calculate the volume of prismoids such as cylinders, prisms, and pyramids, and can also approximate volumes for more complex non-prismoidal solids with edged features.

Step-by-step explanation:

The correct answer to the question is C. determine volumes of prismoids and estimate volumes of edged non-prismoidal solids. The prismoidal formula is a mathematical method used to calculate the volume of prismoids, a category that includes solids like cylinders, prisms, and pyramids. However, it can also be used as an approximation method to estimate the volume of more complex shapes that are not perfect prismoids, but have edged features, such as beveled edges or cut off corners.

For example, in the case of cylinders, the volume is calculated by multiplying the area of the circular base (πr²) by the height of the cylinder. The surface area is composed of the two circular end caps and the curved surface, obtained by unrolling the side into a rectangular shape.

Answer 2

All the options are correct.

If we look at the formula of prismoidal, we can see that it contains, three areas = area of faces at top and bottom and area of midway section

Thus it can be used to calculate the a) calculate surface area for cylindrical rings And b) estimate the surface area of edged non-prismoidal solids.

In the volume formula of prismoidal, the factor (depth/6) is multiplied by the three areas as mentioned above, this gives the volume of faces at top and bottom and midway section. Thus option C and D are also correct.