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2 years ago

What is the smallest positive perfect cube that is a multiple of 180?

Mathematics

1 answer:

Lelechka [254]2 years ago

5 0

Answer:Factor it into its prime factors:

180 / 2 = 90

90 / 2 = 45

45 / 3 = 15

15 / 3 = 5

5 / 5 = 1

2 x 2 x 3 x 3 x 5

All of those factors pair should pair up in 3 members to make cube

2 x 2 x 2 x 3 x3 x 3 x 5 x 5 x 5 = (30)^3 = 27000

Smallest no. = 2 x 3 x 5 x 5 = 150

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

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A die is a cube with 1 edgemeasuring 0.62 inches. Find the total volume of the 5 dice in agame.

igomit [66]

The volume of one die is the edge to the power of 3:

$V=0.62^3in^{3^{}}.$

The total volume is five times the above volume:

$5V=1.19164in^3.$

Answer:

$1.19164in^3$

5 0

1 year ago

Roger wants to carpet a rectangular room with length of 8 3/4 feet and a width of 9 1/3 feet. If he has 85 square feet of carpet

Dima020 [189]

Answer:

12.66 $ft^2$

Step-by-step explanation:

Given the dimensions of the room are $8\frac{3}{4}$ = $\frac{31}{4}$ and $9\frac{1}{3}$ = $\frac{28}{3}$ .

The area of the room = $length*width$

Area= $\frac{31}{4} *\frac{28}{3}$

Area=72.33 $ft^2$

The area of the carpet=85 $ft^2$

The area of carpet left= Total area of carpet - the area of the room

The area of carpet left= 85-72.33=12.66 $ft^2$

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2 years ago