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The figure below is a right rectangular prism with
rectangle ABCD as its base.

What is the area of the base of the rectangular prism?
•square centimeters
What is the height of the rectangular prism?
•centimeters
What is the volume of the rectangular prism?
•cubic centimeters

The figure below is a right rectangular prism with rectangle ABCD as its base What is the area of the base of the rectangular prism square centimeters What is t class=

Respuesta :

calculista

Answer:

Part 1) The area of the base of the rectangular prism is [tex]18\ cm^{2}[/tex]

Part 2) The height of the rectangular prism is equal to [tex]6\ cm[/tex]

Part 3) The volume of the rectangular prism is [tex]108\ cm^{3}[/tex]

Step-by-step explanation:

Part 1) What is the area of the base of the rectangular prism?

we know that

The base of the rectangular prism is the rectangle ABCD

so

AD=BC and AB=DC

The area B of the rectangle is equal to

[tex]B=AD*DC[/tex]

substitute

[tex]B=(9)(2)=18\ cm^{2}[/tex]

Part 2) What is the height of the rectangular prism?

The height of the rectangular prism is equal to the segment line AW (segment perpendicular to the base)

we have that

[tex]H=AW=BX=DY=CZ=6\ cm[/tex]

Part 3) What is the volume of the rectangular prism?

we know that

The volume of the rectangular prism is equal to

[tex]V=BH[/tex]

where

B is the area of the base of the prism

H is the height of the prism

we have

[tex]B=18\ cm^{2}[/tex]

[tex]H=6\ cm[/tex]

substitute

[tex]V=(18)(6)=108\ cm^{3}[/tex]

raphealnwobi

The area of the base of the rectangular prism is 18 cm² and its volume is 108 cm³.

Prism

Prism is a three dimensional shape with two identical shapes called bases facing each other.

From the diagram:

  • Length = 9 cm, width = 2 cm and height = 6 cm

Area of base = length * width = 9 cm * 2 cm = 18 cm²

Volume = height * length * width = 6 * 9 * 2 = 108 cm³

The area of the base of the rectangular prism is 18 cm² and its volume is 108 cm³.

Find out more on prism at: https://brainly.com/question/23963432

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