Normal
What is the surface area of the rectangular solid shown below?
A rectangular prism has length 17 c-m, width 3 c-m and height 6 c-m.
A.26 cm2
B.171 cm2
C.306 cm2
D.342 cm2
To find the surface area of a rectangular prism, we need to find the area of each face and then add them all up.
The area of the top and bottom faces (which are congruent) is simply the length times width, or 17 cm x 3 cm = 51 cm^2.
The area of the front and back faces (also congruent) is the length times height, or 17 cm x 6 cm = 102 cm^2.
The area of the two side faces (still congruent) is the width times height, or 3 cm x 6 cm = 18 cm^2 each. So, the total area of both side faces is 36 cm^2.
Add all those areas up:
51 cm^2 + 102 cm^2 + 36 cm^2 + 36 cm^2 = 225 cm^2
So the surface area of the rectangular prism is 225 cm^2.
Therefore, the answer is not listed.