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4 years ago

Need Help ASAP

Mathematics

1 answer:

rewona [7]4 years ago

3 0

Surface area of the cube = 294 mm²

Solution:

Side of the cube (a) = 7 mm

Formula for the surface area of a cube:

Surface area = $6a^2$ sq. units

To find the surface area of the given cube:

Substitute a = 7 mm in the formula.

Surface area = $6\times(7)^2$

= 6 × 49

= 294 mm²

Surface area = 294 mm²

Option C is the correct answer.

Hence the surface area of the cube is 294 mm².

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3 years ago

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andrey2020 [161]

Answer:

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Step-by-step explanation:

You know how subtraction is the opposite of addition and division is the opposite of multiplication? A logarithm is the opposite of an exponent. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.

We know that $3^2=9$ ; as a logarithm, the exponent gets moved to its own side of the equation, and we write the equation like this: $\log_3{9}=2$ , which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."

One historical quirk: because we use the decimal system, it's assumed that an expression like $\log1000$ uses base 10, and you'd interpret it as "What power do I raise 10 to to get 1000?"

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