What is the surface area of the right rectangular prism?

A. 7m^2

B. 14m^2

C. 24m^2

D. 31m2


What is the volume of the right rectangular prism?

A. 7.5m^3

B. 12m^3

C. 31m^3

D. 6m^3

What is the surface area of the right rectangular prism A 7m2 B 14m2 C 24m2 D 31m2 What is the volume of the right rectangular prism A 75m3 B 12m3 C 31m3 D 6m3 class=

Respuesta :

Answer:

1) OPTION D.

2) OPTION D.

Step-by-step explanation:

1) You can calculate the surface area of the rectangular prism with the following formula:

[tex]SA=2(wh+lw+lh)[/tex]

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

The figure show you that:

[tex]l=4m\\w=3m\\h=0.5[/tex]

Then, the surface area is:

 [tex]SA=2[(3m*0.5m)+(4m*3m)+(4m*0.5m)]=31m^{2})[/tex]

2) You can calculate volume of the rectangular prism with the following formula:

[tex]V=lwh[/tex]

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

When you substitute values, you obtain the following result:

[tex]V=4m*3m*0.5m=6m^{3}[/tex]

Answer:

Surface Area = 31m^3

Volume = 6m^3

Step-by-step explanation:

We are given a diagram of a right rectangular prism and we are to find its surface area and its volume.

We know the formula of surface area of the right rectangular prism is given by: [tex]Surface Area =2(wl+hl+hw)[/tex]

Substituting the given values to get the S.Area:

Surface Area = [tex]2(3*4+0.5*4+0.5*3)=2(15.5)[/tex] = 31m^3

While the formula for the volume of the right rectangular prism is given by: [tex]V=whl[/tex]

Substituting the given values to get the volume:

Volume = [tex]3*0.5*4[/tex] = 6m^3