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Which solid figures have their volumes calculated using the formula V = 1 Bh, where B is the area of the base and h
is the height? Check all that apply.

right cone
oblique cylinder
hexagonal pyramid
rectangular prism
sphere
triangular prism

Respuesta :

Answer:

right cone and hexagonal pyramid.

Step-by-step explanation:

The right cone and hexagonal pyramid are the two solids that can be represented as V = Bh/3.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have a formula for volume:

[tex]\rm V = \frac{1}{3} Bh[/tex]

Where B is the area of the base.

And 'h' is the height.

For the right cone:

[tex]\rm Volume = \pi r^2\frac{h}{3}[/tex]

We can represent it as:

[tex]\rm Volume = \frac{1}{3} Bh[/tex]  (B = πr², and 'h' is the height)

For oblique cylinder:

Volume = πr²h

We cannot represent it as one-third of the volume.

For hexagonal pyramid:

[tex]\rm Volume = \frac{{1} }{3} Bh[/tex]  Where B is the hexagonal base area and h is the height

We can represent it as one-third of the volume.

For rectangular prism:

V = w×h×l

Where w is the width, h is the height, and l is the length of the rectangular prism.

Cannot be represented as one-third of the volume.

For sphere:

[tex]\rm V=\frac{4}{3} \pi r^3[/tex]

Where r is the radius of the sphere.

It cannot be represented as one-third of the volume

For the triangular prism:

[tex]\rm Volume= area \ of \ cross \ section \times length[/tex]

We cannot represent one-third of the volume.

Thus, the right cone and hexagonal pyramid are the two solids that can be represented as V = Bh/3.

Learn more about the volume here:

https://brainly.com/question/16788902