Question

Type the correct answer in the box. If necessary, use / for the fraction bar. A shaded triangular pyramid and an inverted shaded triangular pyramid has their bases on the bottom and the top sides of a rectangular prism. Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the prism, expressed as a fraction in simplest form, is . Reset Next

Answer 1

The ratio of the combined volume of these pyramids to the volume of the prism as a fraction is equal to 1/3.

How to calculate the volume of a pyramid?

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

• h is the height.

• b is the base area.

Since both pyramids have the same base area as the prism, their combined volume is given by:

Combined volume = (1/3 × b × h) + (1/3 × b × h)

Combined volume = 2/3 × b × h

Also, the volume of this prism = 1/2 × b × h

Thus, the ratio is given by:

Ratio = (2/3 × b × h)/(1/2 × b × h)

Ratio = 2/3 × 1/2

Ratio = 1/3.

Read more on pyramid here: brainly.com/question/16315790

#SPJ1