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Ket [755]
4 years ago
10

The basketball shown is packaged in a box that is in the shape of a cube. The edge length of the box is equal to the diameter of

the basketball. What is the surface area and the volume of the box? The surface area of the box is ? square inches. The volume of the box is ? cubic inches.
Mathematics
1 answer:
Nadya [2.5K]4 years ago
5 0

Answer:

See example below.

Step-by-step explanation:

The volume of a ball is found using the formula V = 4/3πr³. In this example, you know the volume is 4500π. Substitute V = 4500π and solve for r.

4500π = 4/3πr³

4500 = 4/3r³

3375 = r³

15 = r

This means the diameter of the ball is 30.

Since the box had the same side length as the diameter, this means the volume of the box is V = 30*30*30 = 27,000.

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2 years ago
the perimeter of a rectangle is 222 millimeters if the length of the rectangle is 60 millimeters what is the width of the rectan
trapecia [35]
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3 years ago
What is the area of the rectangle? shoe your work! do not round anything until the very end and round your final answer to the t
weeeeeb [17]

Answer:

The area of the rectangle is 42 units^2

Step-by-step explanation:

we know that

The area of rectangle is equal to

A=LW

In this problem

AB=DC

BC=AD

see the attached figure with letters to better understand the problem

we have that

L=BC\\W=AB

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have the points

A(2,-1),B(5,2),C(12,-5),D(9,-8)

<em>Find out the distance BC</em>

we have

B(5,2),C(12,-5)

substitute in the formula

d=\sqrt{(-5-2)^{2}+(12-5)^{2}}

d=\sqrt{(-7)^{2}+(7)^{2}}

d_B_C=\sqrt{98}\ units

<em>Find out the distance AB</em>

we have

A(2,-1),B(5,2)

substitute in the formula

d=\sqrt{(2+1)^{2}+(5-2)^{2}}

d=\sqrt{(3)^{2}+(3)^{2}}

d_A_B=\sqrt{18}\ units

<em>Find out the area</em>

A=(L)(W)

we have

L=d_B_C=\sqrt{98}\ units

W=d_A_B=\sqrt{18}\ units

substitute

A=(\sqrt{98})(\sqrt{18})=42.0\ units^2

4 0
4 years ago
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6 0
3 years ago
Emily is entering a bicycle race for charity. Her mother pledges $0.30 for every 0.75 mile she bikes. If Emily bikes 24 miles, h
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
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