If a cube has a total surface area of 486 square feet, then it is _____ feet on each edge

Mathematics

2 answers:

Dovator [93]4 years ago

7 0

9 feet on the sides hope this helps

Aliun [14]4 years ago

7 0

Answer:

9 feet on each edge

Step-by-step explanation:

Since the Total surface of a cube is calculated by a formula S=6a² (a cube is made up by six squares, and its turn a square has 4 sides the same size.

We have S=6a²

Then:

$486=6a^{2} \\ \frac{486}{6}=\frac{6a^{2} }{6} \\81=a^{3} \\ \sqrt{81}=\sqrt{a^{2}} \\a=9$

So a cube has 12 edges each one sizes 9 feet

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What is 9 ounces equal to in pounds? please answer in fractions:)

Tema [17]

Answer:

9/16

Step-by-step explanation:

First, note that 10000 multiplied by .5625 will get rid of the decimal point. Therefore, make a fraction where the numerator is .5625 times 10000 and denominator is 10000 like this:

.5625 x 10000

10000

Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:

5625 /10000

The greatest common factor of 5625 and 10000 is 625, which means you can divide the numerator and denominator by 625 and keep the same value:

5625 ÷ 625 /10000 ÷ 625

And when calculating the numerator and denominator in our fraction above, we get .5625 as a fraction in the simplest form possible:

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9 /16

6 0

3 years ago

Read 2 more answers

A cube has a side length of 8 inches.

Kazeer [188]

The answers are $8^{3}$ and 8 · 8 · 8

Explanation:

The volume of a cube or space a cube occupies is calculated by multiplying the length, height, and width. Additionally, because in a cube all sides are equal in length, the formula for volume is V= $s^{3}$ . According to this, if the side length is 8 inches the volume can be represented as $V = 8^{3}$ or V= 8 · 8 · 8 because the symbol · represents multiplication. Also, this can be solved as V = 512 cubic inches. This makes the following options correct: $8^{3}$ and 8 · 8 · 8.