A square cake measures 6 units by 6 units by 4 units. The cake falls into a vat of frosting and comes out frosted on all six faces. The cake is then cut up into cubes, each measuring 1 unit on an edge How many of these cubes will have exactly one face frosted?​

Answer:

Out of 36 cubes on each face, the 16 cubes not on an edge are the only ones frosted on a single face. 16 on each face x 6 faces = 96 cubes frosted on one face.

Step-by-step explanation:

Hope it helps!

There are 64 cubes that are frosted on one side only.

"A Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron."

"Shapes in three-dimensions or as we view them in real life are called 3D shapes. Examples of 3D shapes are cubes, cuboids, spheres, cylinders, cones and frustum of cones."

Each face will have three types of cubes on it:

1. Corner Cubes - Frosted on three adjacent sides

2. Edge Cubes - Frosted on two adjacent sides and on the edge between two corner cubes.

3. Central Cubes - Frosted on one side and in the middle of all edges of the face.

Thus, the number of cubes that have only one side as frosted are the total number of central cubes. They can be calculated as follows for all 6 faces:

[tex]Cubes_{central}[/tex] = (6−2)(6−2)+(6−2)(4-2)+(6−2)(4−2)+(6−2)(6−2)+(6−2)(4−2)+(6−2)(4−2)

= [tex]2 (4)^{2}+4(4)(2)[/tex]

= 32+ 32

= 64

Thus there are 64 cubes that are frosted on one side only.

Learn more about cubes here

https://brainly.com/question/14994710

#SPJ2

100 points and brainliest to the first correct answer
I've done the work but I need to know what my new coordinates will be

Here's the question
Use the mapping (x+3, y-5), for the transformation of triangle ABC with vertices A(-2, -4), B(0, 0), and C(1, -3), find the coordinates of the new triangle A’B’C’ . You must show all your work.
And then here is the answer

You’re going to go left side three points and down five for every point on the graph (ABC) and once you do that label the ABC marks with an apostrophe like so; A’B’C’ for every time you change places


What will be my new coordinates??

solve y
y=8x-x^2
y=2x
STEP BY STEP SOLUTION PLEASE HELP

-0.1b = 3.8, what is b?

The following represents slopes of two lines. Which answer choice describes the two lines? m = 7 and m = -7

Ms. Sublett's math class is putting three numbers (0.3, 1/4, and 20%) in order from least to greatest. What order should the numbers be from least to greatest?

Can someone please help

Point V is on the line segment UW. Given VW=5x-4, UV=2x, and UW=5x, determine the numerical length of VW

A weather balloon ascends 6 meters every second.
How far will it ascend in 120 seconds?
Enter the your answer in the box.
m

pls helppp it's due after 30 min

* Find the cast price of the following: a) selling price 55 profit 10% c) selling price $680, loss 15% b) selling price $558, profit 24% d) selling price $11.78, loss 5%​

Denilys has $186.44 saved in her piggy bank. She
saw a pair of jeans for $49.89 and a pair of
earrings for $24.58 that she couldn't live without.
How much money will she still have in her piggy
bank after she buys her jeans and earrings?

hiiiiiii CAN U HELP ME PLS ILL GIVE BRAINLIEST 5 STARS AND A THANKS I HAD A ROUGH DAY AND MY BRAIN WONT WORK :C SORRY THERES NOT A LOT OF POINTS!

If a dozen eggs cost $1.35, what does the unit cost?

I rlly need help im failing in math out report cards are Wednesday on top of that my birthday is October 25 help me please

Solve the formula c = 5p + 215 for p

when 7 is added to 3 times a number, the sum is multiplied by 2 and 15 is subtracted what is the final answer

Find values of a, b, and c that make each statement true.
If no values exist, write not possible.

a. a< b and a +<< b + c

b. a< b and a +c>b+c

c. a< b and ac < bc

d. a bc

e. a< b and ac=bc

Number 19 please and thank you.

help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!

plz help :-)

The perimeter of an equilateral triangle is 9n - 12. Write an expression to represent the length of each side.​

PLEASE HELP :)
The value of a polynomial is 0 when x = -8
What expression must be a factor of the polynomial?

Round 7412 to the nearest thousand.

I NEED HELP!!! PLS DUE TODAY!!!
I need to make this word problem a division word problem.

Emma had 2 1/4 of jelly beans. She ate 1/4 of them.

Help!! Please!!!! Please show your work!

Which of the following are techniques you have learned so far for solving a
quadratic equation?
Check all that apply.
O A. Solve by taking the square root of both sides
B. Solve by factoring
C. Solve by substitution
I D. Solve by forming sums of squares

Q2. In a school, 60% of the students are girls. 50% of the girls walk to school. 20% of the boys walk to school. What percentage of the students walk to school?​

The length of a side of a square is 4x – 1.
Express the area of the square in terms of x.

What is the perimeter of WXYZ?

will brainly come in clutch???

Name 3 points that are coplanar

HELP PLSSS THIS IS HARD ANYONE