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3 years ago

What is the surface area of a rectangular prism that is 8 centimeters by 6 centimeters by 24 centimeters?

1 answer:

5 0

One formula for the surface area (S) of a prism is
S = 2(LW + H(L+W))

Filling in the given values, you have
S = 2((8 cm)·(6 cm) + (24 cm)·(8 cm + 6 cm))
= 2(48 cm² + (24 cm)·(14 cm))
= 2·384 cm²
= 768 cm²

The surface area is 768 cm².

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First, expand to remove parentheses.
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Third, cancel out ' $x^{2}$ ' on both sides.
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Fourth, subtract '3x' from both sides.
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Fifth, subtract '7x - 3x' to get '4x'.
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Sixth, subtract '10' from both sides.
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Seventh, subtract '34 - 10' to get '24'.
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Eighth, divide both sides by '4', leaving the 'x' by itself.
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Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
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Tenth, switch your sides to get the answer.
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