Find the Surface Area
SA = 2(lw + wh + hl)
Prism Surface Area!
Choose your challenge:
Surface Area of Rectangular Prism Game
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This Surface Area of Rectangular Prism Game is a great way to put your skills to the test in a fun environment. By practicing, you’ll start to work out the answers efficiently.
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Surface Area of Rectangular Prism Game
The surface area (SA) of a rectangular prism is found by calculating the total area of all six faces (sides) and adding them together.
Since a rectangular prism has three pairs of identical faces we get the formula: SA = 2(lw + wh + hl).
Scroll down the page for a more detailed explanation.
In this game, you may select “Find Surface Area” or “Find Missing Side” or “Mixed Questions”. If you give a wrong answer, the game will provide the correct answer.
Score: 0 / 0
How to Play the Surface Area of Rectangular Prism Game
In the game, you need to find the surface area of a rectangular prism or find a missing side when given the surface area.
Here’s how to play:
- Choose your challenge: Select “Find Surface Area” or “Find Missing Side” or “Mixed Questions”.
- Find Surface Area: Calculate surface area given length, width, and height.
- Find Missing Side: Calculate a missing side (length, width, or height) given the surface area and the other two sides.
- Enter Your Answer: Enter in the answer.
- Check Your Work: Click the “Check” button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
- Get a New Problem: Click the “Next” button for a new problem.
Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried. - Back to Menu Click “Menu” to restart the game.
Find the Surface Area
A rectangular prism has three dimensions: Length (L), Width (W), and Height (H).
The total surface area (SA) is the sum of the areas of:
The top and bottom faces (L × W)
The front and back faces (L × H)
The left and right side faces (W × H)
The formula is:
SA = 2(LW) + 2(LH) + 2(WH)
Where:
SA is the Total Surface Area.
L is the Length.
W is the Width.
H is the Height.
Find Missing Side
To find a missing side (L), rearrange the formula to isolate L.
\(L = \frac{SA - 2(HW)}{2(H + W)}\)
The video gives a clear, step-by-step approach to find the surface area of a rectangular prism.
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