Question

A rectangular solid has sides of 4 cm, 6 cm, and 8 cm. What is its surface area?

Answer 1

The surface are of a rectangular prism is:

A=2(xy+xz+yz), where x,y, and z are the dimensions of the prism, in this case:

A=2(4*6+4*8+6*8)

A=2(24+32+48)

A=2(104)

A=208 cm^2

Answer 2

The surface area is
`208 cm^2`

Explanation:

In order to determine the surface area of a rectangular solid, we have to know the formula of a rectangular area.

The area of a rectangle is:

`A=B*H`

Where:

B is the width of the rectangle.

H is the height of the rectangle.

A rectangular solid is a volume that it is formed of rectangular faces, so if we want to determine the total surface, we just have to calculate the rectangular areas for every face.

I have attached an image of a rectangular solid that shows its form and some formulas.

In this case, using the formula of surface area from the image:

`L=4cm\\W=6cm\\H=8cm\\\\S=2*L*H+2*L*W+2*W*H\\S=2*4*8+2*4*6+2*6*8\\S=64+48+96\\S=208`

Finally, the surface area is
`208 cm^2`