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Nana76 [90]
3 years ago
5

What is the surface area of the cube with the given edge length, s? Drag and drop the surface area into the box to match the edg

e length. s = 2.3 cm 13.8 cm²31.74 cm²132.65 cm²148.04 cm²
Mathematics
2 answers:
Elodia [21]3 years ago
8 0

For this case we have that by definition the surface area of the cube is given by:

A = 6s ^ 2

Where,

  • <em>s: is the side of the cube </em>

In this case we have that the side of the cube is given by:

s = 2.3 cm

Therefore, replacing values we have:

A = 6 (2.3) ^ 2\\A = 31.74 cm ^ 2

Answer:

The surface area of the cube is given by:

A = 31.74 cm ^ 2

Option 2

TEA [102]3 years ago
4 0
Cube surface area = side^2 * 6
cube surface area = 2.3^2 * 6
cube surface area = 31.74 cm^2


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Given:

Volume of a sphere is \dfrac{28}{3} times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

V=\dfrac{4}{3}\pi r^3              ...(i)

Surface area of a sphere:

A=4\pi r^2                      ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is \dfrac{28}{3} times the surface area.

V=\dfrac{28}{3}\times A

\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2

Multiply both sides by 3.

4\pi r^3=112\pi r^2

\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}

r=28

Using (i), the volume of the sphere is:

V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3

V\approx 91989

Using (ii), the surface area of the sphere is:

A=4\times \dfrac{22}{7}\times (28)^2

A=9856

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

3 0
3 years ago
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Alchen [17]

The rate of change of the given equation is: 0.86

Step-by-step explanation:

Rate of change or slope is the steepness of a linear function or line.

When an equation is given in the form of slope-intercept form, the co-efficient of x is the slope or rate of change of the equation.

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y=0.86x+3.302

We can see that the co-efficient of x is 0.86

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