You can solve for the Lateral Surface Area of a rectangle by using the following equation:
L.S.A = 2h(l + w)
In the case of the given rectangular prism,
l = 5
w = 2
h = 3
Plug in the corresponding numbers to the corresponding variables:
L.S.A = 2(3)(5 + 2)
Simplify. Remember to follow PEMDAS.
PEMDAS =
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
First, solve for the parenthesis:
L.S.A = 2(3)(7)
Multiply:
L.S.A = 6 * 7
L.S.A = 42
Your lateral surface area = 42
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Solve for your surface area.
The surface area of a rectangular prism can be solved using the following equation:
S.A = 2lw + 2wh + 2lh
Let:
l = length = 5
w = width = 2
h = height = 3
Plug in the corresponding numbers to the corresponding variables;
S.A = 2(5)(2) + 2(2)(3) + 2(5)(3)
Simplify. Remember to follow PEMDAS. First multiply, then add:
S.A = (20) + (12) + (30)
S.A = 62
Your total surface area = 62
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