On the way home from rug shopping, Sophia stopped and bought a rectangular cake. The bottom is not frosted, but all other sides are. The cake is 8 x 11 x 2 inches. Sophia also bought a cylinder shaped pineapple upside down cake. Only the top of the cake is covered in pineapples and icing. The area that is covered is 63.585 square inches.
A) What is the surface area of the rectangular cake that has frosting on it?
B) What is the radius of the pineapple cake?
C) What is the diameter of the pineapple cake?
please help! my brain isn't working properly today.
if its posible i need the answer before 8:20
You have unrealistic expectations.
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
A) (8*11)+2(2*11)+2(2*8) = ?
B) Area = πr^2 Solve for r.
C) diameter = 2r
A) To find the surface area of the rectangular cake that has frosting on it, we need to calculate the area of all the sides except the bottom. The bottom side is not frosted, so we exclude it.
The rectangular cake has a length of 8 inches, a width of 11 inches, and a height of 2 inches. The surface area of a rectangular prism is given by the formula: 2lw + 2lh + 2wh, where l represents length, w represents width, and h represents height.
Substituting the values we have, the surface area of the rectangular cake = 2(8 x 11) + 2(8 x 2) + 2(11 x 2) square inches.
Calculating this expression, we get the surface area of the rectangular cake that has frosting on it.
B) To find the radius of the pineapple cake, we need to use the given information about the area that is covered with pineapples and icing. We know that the area of a circle is given by the formula πr^2, where r represents the radius of the circle.
Given that the area of the covered portion is 63.585 square inches, we can set up the equation: πr^2 = 63.585.
Solving this equation for r would give us the radius of the pineapple cake.
C) The diameter of the pineapple cake can be calculated once we find the radius. The diameter is simply twice the radius, which means if we have the value of the radius, we can multiply it by 2 to get the diameter.
Once we have the radius from part B, we can multiply it by 2 to find the diameter of the pineapple cake.