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.
9514 1404 393
Answer:
5/9 m/min
Step-by-step explanation:
The depth of the water is 2/5 of the depth of the trough, so the width of the surface will be 2/5 of the width of the trough:
2/5 × 2 m = 4/5 m
Then the surface area of the water is ...
A = LW = (18 m)(4/5 m) = 14.4 m²
The rate of change of height multiplied by the area gives the rate of change of volume:
8 m³/min = (14.4 m²)(h')
h' = (8 m³/min)/(14.4 m²) = 5/9 m/min
Answer:
You save 86 cents per pound.
Step-by-step explanation:
According to the given problem, grocery store B charges chicken 5 pounds of chicken for $38.20. Consider finding the unit price:
To find the unit price of any item, do the following calculation:
Total Price / Total amount = $$$ per amount.
The unit price of store b is . In other words, every pound of chicken costs $7.64 at store b.
For store a, we are provided with a table. Given how the question is being asked, we should <u>expect a higher unit price</u>. We can take any charge to find the unit price since the price should be consistent no matter how many pounds you buy. I will calculate the first row:
In other words, every pound of chicken costs $8.50 at store a. <u>This price is higher</u>. You can verify this is the correct unit price by multiplying the unit price with any amount of pounds provided at the table. You should get the total cost.
So, now that we have both unit prices, we can calculate the difference to find out how much we save per pound when choosing store b:
8.50-7.64=0.86.
Answer:
Step-by-step explanation:
4 and a half
Use PEMDAS with the first 3.
a. 3×(6÷5)
3×(1.2) [Parenthesis first]
3.6. [then multiply]
b. 3÷(5×6)
3÷(30) [Parenthesis first]
.1 [then divide]
c. (3×6)÷5
(18)÷5 [Parenthesis first]
3.6 [then divide]
d. 3×6÷5
18÷5 [Left to right]
3.6 [then divide]