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Masja [62]
3 years ago
10

A prism has three times the volume of a pyramid with the same base and altitude.

Mathematics
2 answers:
ad-work [718]3 years ago
8 0

Answer:

A) True.

Step-by-step explanation:

Volume of any prism = base area x Height.

Volume of any Pyramid = Base area x height ÷3.

The volume of Pyramid is volume of prism divided by 3.

In other words we can say the volume of prism is 3 times the volume of a pyramid which will have the same base and height.

So the statement A prism has three times the volume of a pyramid with the same base and altitude is True.

AVprozaik [17]3 years ago
4 0
The correct answer is true.

To go from a prism to a pyramid with the same base and altitude, you simply need to divide it by 3. There is a factor of 3 between them.

This is also true of cylinders and cones.
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Answer:

Enter a problem...

Algebra Examples

Popular Problems Algebra Solve by Substitution 3x-4y=9 , -3x+2y=9

3

x

−

4

y

=

9

,

−

3

x

+

2

y

=

9

Solve for

x

in the first equation.

Tap for more steps...

x

=

3

+

4

y

3

−

3

x

+

2

y

=

9

Replace all occurrences of

x

in

−

3

x

+

2

y

=

9

with

3

+

4

y

3

.

x

=

3

+

4

y

3

−

3

(

3

+

4

y

3

)

+

2

y

=

9

Simplify

−

3

(

3

+

4

y

3

)

+

2

y

.

Tap for more steps...

x

=

3

+

4

y

3

−

9

−

2

y

=

9

Solve for

y

in the second equation.

Tap for fewer steps...

Move all terms not containing

y

to the right side of the equation.

Tap for more steps...

x

=

3

+

4

y

3

−

2

y

=

18

Divide each term by

−

2

and simplify.

Tap for more steps...

x

=

3

+

4

y

3

y

=

−

9

Replace all occurrences of

y

in

x

=

3

+

4

y

3

with

−

9

.

x

=

3

+

4

(

−

9

)

3

y

=

−

9

Simplify

3

+

4

(

−

9

)

3

.

Tap for more steps...

x

=

−

9

y

=

−

9

The solution to the system of equations can be represented as a point.

(

−

9

,

−

9

)

The result can be shown in multiple forms.

Point Form:

(

−

9

,

−

9

)

Equation Form:

x

=

−

9

,

y

=

−

9

image of graph

7 0
3 years ago
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