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PLEASE HELP RIGHT NOW A wooden cabinet is in the shape of a rectangular prism. Its base area and height are 10/12m ² and 2/3 m

respectively. What volume does the cabinet occupy?


A. 5/9 m ³

B. 1 4/5m³

C. 4/5 m³

D. 1/3 m³

Respuesta :

Luv2Teach
Volume is length times width times height and you have your base area which takes care of the length times width, so just multiply the two numbers to get the volume.  Reduce to get a volume of 5/9

Answer:

Option: A is the correct answer.

The volume that is occupied by the cabinet is:

                A.    5/9 m ³

Step-by-step explanation:

We know that the volume of a rectangular prism with base area i.e. B and height H is given by the formula:

[tex]V=B\times H[/tex]

In the given question

The base area of the rectangular prism is given by:  10/12 m²

i.e.

[tex]B=\dfrac{10}{12}\ m^2[/tex]

and the height of the rectangular prism is given by: 2/3 m

i.e.

[tex]H=\dfrac{2}{3}\ m[/tex]

Hence, the volume of the rectangular prism is:

[tex]Volume=\dfrac{10}{12}\times \dfrac{2}{3}\ m^3\\\\i.e.\\\\Volume=\dfrac{5}{9}\ m^3[/tex]

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