Calculate the lateral area of the cube if the perimeter of the base is 12 units

Mathematics

1 answer:

Brums [2.3K]2 years ago

4 0

The lateral area of the cube is 36 sq units

Explanation:

Given:

Perimeter of the base of the cube = 12 units

Base of the cube has 4 sides

So, the perimeter of the base = 4a

where,

a is the length of one side

Thus,

4a = 12 units

a = 3 units

Lateral surface area of the cube = 4a²

A = 4 X (3)²

A = 36 sq units

Therefore, the lateral area of the cube is 36 sq units

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If f(x)=(1/8)(8^x) what is f(3)? A. 1/512 B. 1/64 C. 512 D. 64

cestrela7 [59]

Hi there!

Let's solve this problem step by step!
$f(x) = \frac{1}{8} (8 {}^{x})$

To find f(3) we must substitute x = 3 into the formula.
$f(3) = \frac{1}{8} (8 {}^{3} )$

Now we use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.

Work out the exponents inside the parenthesis first.
$f(3) = \frac{1}{8} \times 512$

And finally multiply.
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Hence, the answer is D. 64.
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