SOLUTION: Hi, I am new to geometry. I am a distance education student and cannot fiqure out where to start. The problem is: Find the volume and surface area of a rectangular solid, if it

Question 60669This question is from textbook Essential Algebra
: Hi, I am new to geometry. I am a distance education student and cannot fiqure out where to start.
The problem is: Find the volume and surface area of a rectangular solid, if its
length is 10 inches, its width is 5 inches, and it is twice as wide as it is deep.
Thanks for your help,
Lee Ann This question is from textbook Essential Algebra

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well, a rectangular solid has six faces, opposite pairs of which are identical.
To find the volume of a rectangular solid, use the formula:
Where: l = the length, w = the width, and h = the height.
You are given the length: l = 10" and the width, w = 5"
If it is twice as wide as it is deep (same as height).
So, 2h = w and h = (1/2)w = (1/2)5 = 2.5
The volume is:

cu. ins.
To find the surface area of the six faces, find the areas of the three pairs of identical faces (2 sides, 2 ends, top & bottom).
One side: = Multiply by 2 for both sides.
= sq. ins.
For one end: = Multiply by 2 for both ends.
= sq. ins.
For the top: = Multiply by 2 for both top & bottom.
+ sq. ins.
Total surface area is: = sq. ins.

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