well, let's notice something, a cube, all equal sides, has a side of 6, thus its volume is simply 6*6*6 = 216 cm³.
now, a rectangular prism, is a cuboid as well, but with varying dimensions.
let's notice something 6*6*6 is simply a multiplication of 3 numbers, let's then do a quick <u>prime factoring</u> of those numbers, well, 6 factors only into 2 and 3, so then the product of 6*6*6 can really be rewritten as (2*3)(2*3)(2*3).
well, regardless on how we rearrange the factors, the product will be the same, commutative property, so the rectangular prism will more or less have the same product and thus just about the same prime factors.
so let's rearrange on say hmmm height = 3 cm, length = 3*3 cm and width = 2*2*2 cm, notice, is still the same prime factors, 3*9*8 = 216 cm³.
Check the picture below.
Answer:
A=45m²
Step-by-step explanation:
A=bh=9·5=45m²
Answer:
60:100, 6/10, 3/5, 6 to 10, etc.
Step-by-step explanation:
You take the number of girls over total students which is boys + girls. Since there's 40 boys and 60 girls, it's 60 girls to 100 students which can be written in several ways.
The person has 1 5/6 cake left because 3 2/4 - 1 2/3 = 1 5/6! Hope this helps ^0^
Explanation
Rewriting Expression in different parts.
= 3 + 2/4 + 1 + 2/3.
Solving The Whole Number Parts.
3 + 1 = 4
Solving The Fraction Parts.
2/4 + 2/3 = ?
Find the LCD of 2/3 and 2/4 and Rewrite to solve with equivalent Fractions.
LCD = 12
6/12 + 8/12 = 14/12
Simplify the Fraction Part.
14/12 = 7/6
Simplify The Fraction Part Again.
7/6 = 1 1/6
Combining The Whole Numbers With The Fractions.
4 + 1 + 1/6 = 5 1/6
Hope this helps ^0^! ;D