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fiasKO [112]
3 years ago
10

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

Mathematics
2 answers:
Dovator [93]3 years ago
7 0
9 feet on the sides hope this helps
Aliun [14]3 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

You might be interested in
Estimate the sum 8/10 + 1/9
RideAnS [48]

Answer:

41/45

Step by Step Explanation:

Add: 8/

10

+ 1/

9

= 8 · 9/

10 · 9

+ 1 · 10/

9 · 10

= 72/

90

+ 10/

90

= 72 + 10/

90

= 82/

90

= 2 · 41/

2 · 45

= 41/

45

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/

45

.

In other words - eight tenths plus one ninth = forty-one forty-fifths.

8 0
3 years ago
Need some help here...
bekas [8.4K]
Cos Z = 32/40 => Z= cos-¹(32/40) =>

sin Z = sin (cos-¹(32/40)) = 3/5
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4 0
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A laundry detergent box meassures 12 inches by 8 inches by 2.5 inches. What us the volume of two boxes of detergent
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