Question

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

Answer 1

Surface Area = 31m^3

Volume = 6m^3

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:
`Surface Area =2(wl+hl+hw)`

Substituting the given values to get the S.Area:

Surface Area =
`2(3*4+0.5*4+0.5*3)=2(15.5)` = 31m^3

While the formula for the volume of the right rectangular prism is given by:
`V=whl`

Substituting the given values to get the volume:

Volume =
`3*0.5*4` = 6m^3

Answer 2

1) OPTION D.

2) OPTION D.

Explanation:

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

`SA=2(wh+lw+lh)`

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

The figure show you that:

`l=4m\\w=3m\\h=0.5`

Then, the surface area is:

`SA=2[(3m*0.5m)+(4m*3m)+(4m*0.5m)]=31m^(2))`

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

`V=lwh`

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

When you substitute values, you obtain the following result:

`V=4m*3m*0.5m=6m^(3)`