Question

Find the lateral surface area and the total surface area.

Answer 1

Heya,

Surface Area Formula: 2lw + 2lh + 2hw (l = length, h = height, and w = width)

l = 2

h = 3

w = 5

= 2(2)(5) + 2(2)(3) + 2(3)(5)

= 2(10) + 2(6) + 2(15)

= 20 + 12 + 30

= 32 + 30

= 62 units is the total surface area.

The lateral surface area is the total surface area excluding the bases. The base of the rectangle is the bottom and top which are rectangles.

The total surface area is 62 units, so, just subtract the area of teh bases.

Area of bases: (5 * 2) * 2 = 20

Subtract to find the lateral surface area: 62 - 20 = 42 units is the lateral surface area.

Best of Luck!

Answer 2

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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