You are creating a wedding cake for a couple. The couple has already picked out a design that they like. The cake is composed of three tiers. Each tier is a square prism. The bottom tier has a length of 20 inches. The second tier has a length of 14 inches and the top tier has a length of 8 inches. Each tier has a height of 6 inches. The surface of the entire cake will need to be covered in frosting. How many cans of frosting will you need to buy, if each can covers 250 square inches?
Answers
To calculate the total surface area of a three-tier wedding cake and determine the number of frosting cans needed, we use the formula for the surface area of a square prism. The total surface area of the cake is 1848 square inches. As each can covers 250 square inches, we would need to buy 8 cans.
In this task, we are asked to calculate the total surface area of a three-tiered wedding cake made of square prisms to determine how many cans of frosting are needed. Each tier has a different length but they all share the same height. The surface area of a square prism is calculated by using the formula 2(a² + 4ah), where 'a' is the length of a side and 'h' is the height.
The total surface area for each tier becomes:
- Bottom Tier: 2*(20^2 + 4*20*6) = 880 square inches
- Middle Tier: 2*(14^2 + 4*14*6) = 616 square inches
- Top Tier: 2*(8^2 + 4*8*6) = 352 square inches
Add these together to get the total surface area for the whole cake, which is 1848 square inches. As each can of frosting can cover 250 square inches, you will need to divide 1848 by 250. This gives approximately 7.4, so you would need to buy 8 cans of frosting to fully cover the cake (as we can't buy partial cans).
Learn more about Surface Area here:
#SPJ2
Used Area from bottom box (green)= All 4 vertical faces +EFGH-IJKL
=(20*6+6*6+20*6+6*6)+20*6-14*6= 348 Square inches ...(i)
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Used Area from middle box (Blue)= All 4 vertical faces +MNOP-QRST
=(14*6+6*6+14*6+6*6)+14*6-8*6=276 square inches...(ii)
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Used Area from top box (Brown)= All 4 vertical faces +UVWX
=(8*6+6*6+8*6+6*6)+8*6=216 square inches...(iii)
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so the surface area of the cake to be covered= 348+276+216=840 square inches.
given that 1 can covers 250 square inches
so number of cans needed = 840/250=3.36
which means 4 cans needed.
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Answer:
See in attachment and Mark as brainleist please .☺☺☺☺
Answer:
1. x=4+2y/3
2. x=3/4+y/2
Step-by-step explanation:
hope this helped :))
Answers
An ordered pair is used to locate a point on a coordinate grid.
The first number in an ordered pair is the x-coordinate, and the second number in an ordered pair is the y-coordinate.
In this problem, the ordered pair is
so
the x-coordinate is equal to
the y-coordinate is equal to
therefore
Rule N 1
The y-value is
Rule N 2
The y-value is
Both are possible because their solutions include the ordered pair listed
Answer with explanation:
It is given that , graph includes the ordered pair (2,4). As both "x coordinate and y coordinate" are positive , so the point will lie in first quadrant.
The Rules which seems possible for this graph.
1. The sum of Abscissa and ordinate is 6, and ordinate is twice the abscissa.
2. The Difference of Abscissa and ordinate or ordinate and abscissa is | 2 |.
→Intuitively thinking about the point (2,4) and thinking what are different possibilities that can be possible with this point i wrote these two sentences about the graph.
Also, it is not given that which kind of graph it is , linear , curve etc.
Answers
So basically you need 10 1/4 cups
Answers
cube has 6 faces, all squares
area of square=side^2
therefor surface area (area covered by carmael)=6 times side^2
side=1 and 1/3
convert 1 and 1/3 to imporoper
1 and 1/3=1+1/3=3/3+1/3=4/3
Surface Area=6 times side^2
SA=6(4/3)^2
SA=6(16/9)
SA=96/9
SA=10 and 6/9
SA=10 and 2/3
answer is 10 and 2/3 in^2 is covered per cube
(if you are given a number of cubes, multiply 10 and 2/3 in^2 by number of cubes)