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Vikki [24]
2 years ago
12

A cube shaped packing box like the one shown below is used to pack a stack of Dinner Plates. if the volume of the box is 1,000 c

ubic inches, what is the maximum circumference of the dinner plates that will ft in the box, to the nearest tenth of an inch
A. 15.7
B. 31.4
C. 78.5
D. 99.3
Mathematics
1 answer:
fgiga [73]2 years ago
4 0
The correct answer is Choice B: 31.4.

If the volume of the cube is 1000, that means that the width of the box would be 10. That would also be the diameter of the largest plate that fits in the box.

Using 10 as the diameter, we can find the circumference, by multiplying it by pi.

C = pi x diameter
C = 3.14 x 10
C = 31.4
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Step-by-step explanation:

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Alicia, Brandon, and Charlene wanted to solve the proportion x/4.24 = 6.82/2.2 which of the students used a correct method?
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Answer:

Part a) The scale of the new blueprint is \frac{5}{8} \frac{in}{ft}    

Part b) The width of the living room in the new blueprint is 9.4\ in

Step-by-step explanation:

we know that

The scale of the original blueprint is

\frac{2}{5}\frac{in}{ft}

and

the width of the living room on the original blueprint is 6 inches

so

<em>Find the actual width of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft

<em>Find the actual length of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft

<em>Find the scale of the new blueprint</em>, divide the length of the living room on the new blueprint by the actual length of the living room

\frac{15}{24} \frac{in}{ft}

simplify  

\frac{5}{8} \frac{in}{ft}      

<em>Find the width of the living room in the new blueprint, using proportion</em>

\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in

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