Q:

Lei is painting the outside of a jewelry box that is in the shape of a rectangular prism. Its length is 18cm, it's width is 6 cm, and its height is 3cm. What is the surface area of the jewelry box in square meters?

Accepted Solution

A:
To solve this problem you must apply the proccedure shown below:

 1. You have that  threctangular prism has the following dimensions: Its length is 18 cm, its width is 6 cm, and its height is 3 cm.

 2. Then, you must apply the formula for calculate the surface area of a rectangular prism, which is:

 SA=2(WL+HL+HW)

 Where SA is the surface area of the rectangular prism, L is the lenght, W is the width and H is the height.

 3. Therefore, when you susbtitute values into the formula shown above, you obtain:

 SA=2(WL+HL+HW)

 L=18 cm
 W=6 cm
 H=3 cm

 SA=2[(6 cm)(18 cm)+(3 cm)(18 cm)+(3 cm)(6 cm)]
 SA=360 cm^2