Whitney is making a strawberry cake for her brother’s birthday. the cake pan is a right rectangular prism 20 cm wide by 28 cm long. whitney puts 1848 cm of batter into the pan. how deep is the cake batter?

The deep of the cake batter is 3.3 cm.

Step-by-step explanation:

Given:  The cake pan is a right rectangular prism 20 cm wide by 28 cm long.

Whitney puts 1848 cm^3 of batter into the pan.

From the given information, we get

length (l) = 20 cm

width(w) = 28 cm

Volume(v) = 1848 cm^3

Now we have to find the height (that is the deep of cake batter).

Volume of a rectangular prism (V) = length*width*height

Now plug in the given values and simplify to get the deep of the cake batter.

1848 = 20*28*height

1848 = 560*height

Dividing both sides by 560, we get

Height =1848/560

= 3.3 cm

Therefore, the deep of the cake batter is 3.3 cm.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

there are infinitely many solutions.