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puteri [66]
3 years ago
10

The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface

area, SA. How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?
Mathematics
2 answers:
never [62]3 years ago
7 0

Answer:

2\sqrt{2}\ ft\ longer

Step-by-step explanation:

<u>Area Of A Cube </u>

Suppose a cube with side length s, the area of one side is

A_s=s^2

Since the cube has 6 sides, the total area is

A=6A_s=6s^2

But if we have the area, we can solve the above formula for s to get

A=6s^2

\displaystyle s=\sqrt{\frac{A}{6}}

We have two different cubes with areas 1,200 square inches and  768 square inches. Let's compute their side lengths

\displaystyle s_1=\sqrt{\frac{1,200}{6}}=\sqrt{200}

\displaystyle s_1=10\sqrt{2}\ ft

\displaystyle s_2=\sqrt{\frac{768}{6}}=\sqrt{128}

\displaystyle s_2=8\sqrt{2} ft

The difference between them is

10\sqrt{2}\ ft-8\sqrt{2}\ ft=2\sqrt{2}\ ft\approx 2.83\ ft

The side of the cube with area 1,200 square inches is 2\sqrt{2}\ ft longer then the side of the cube with area 768 square inches

kenny6666 [7]3 years ago
4 0

Answer:

B) 2√2 on edge

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72,429 rounded to the nearest ten-thousands is 70,000.
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What is 2 3/12 minus 1 8/12 equal to?​
ArbitrLikvidat [17]

Answer:

7/12

Step-by-step explanation:

3/12=1/4

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6 0
3 years ago
Read 2 more answers
1. Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.
iren2701 [21]

Answer:

Part 1)

Bob's mistake was to have used the cosine instead of the sine

The measure of the missing angle is 53.13\°

Part 2) The surface area of the pyramid is 288\ cm^{2}

Step-by-step explanation:

Part 1)

Let

x----> the missing angle

we know that

In the right triangle o the figure

The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle

sin(x)=\frac{16}{20}

x=arcsin(\frac{16}{20})=53.13\°

Bob's mistake was to have used the cosine instead of the sine

Part 2) we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

SA=b^{2}+4[\frac{1}{2}(b)(h)]

where

b is the length side of the square

h is the height of the triangular lateral face

In this problem

h=b/2 -------> by an 45° angle

so

b=2h

sin(45\°)=\frac{h}{6\sqrt{2}}

h=6\sqrt{2}(sin(45\°))=6\ cm

Find the value of b

b=2(6)=12\ cm

Find the surface area

SA=12^{2}+4[\frac{1}{2}(12)(6)]=288\ cm^{2}

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3 years ago
Nicolas weighs 37 kilograms 95 grams. Jacques weighs 4,650 grams less than Nicolas. How much does Jacques weigh?
slava [35]

Step-by-step explanation:

convert to g

37 095 g

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3 years ago
Cj ran 6 miles in 48 minutes what was his rate in miles per hour
Lyrx [107]

Answer:

his rate of miles per hour would be 7.5 mph


6 0
3 years ago
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