48 cubed as a product of its prime factors

1 answer:

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48 cubed = 48*48*48

Find factors of 48:
12 and 4
12*4=48

Neither of those numbers are prime factors so we have to break both of then down further.

Find prime factors of 4:
2*2=4

Find factors and prime factors of 12:
12= 4*3
3 is a prime factors but 4 is not. Break down 4 again and get 2*2*3=12

So put that all together and get the prime factors of 48, they are:
2*2*2*2*3

The prime factor of 48 cubed is the same thing as the prime factor of 48 three times

The prime factors are:
2*2*2*2*2*2*2*2*2*2*2*2*3*3*3
(12 2's and 3 3's)

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Answer:

1240.4 mm²

Step-by-step explanation:

SA of Pentagonal pyramid:

(as)(5/2) + (sl)(5/2)

↑ ↑

base area lateral area

_____________________

a: apothem (in-radius) length, s: side length.

l: slant height.

______________________

Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.

Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.

A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).

With this information the surface area is:

(16)(20)(5/2)mm + (440.4 mm²) →

800 mm² + 440.4 mm² =

1240.4 mm²

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Lisa has a rope that measures 9 1 4 feet in length. She will cut the rope into pieces that are each 3 4 foot long. How many full

Harman [31]

Answer:

Lisa can cut the rope into 12 pieces with 1/4 foot remaining.

I found the answer on USATestprep.

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