Correct Answer:
The cones are not congruent because one cone is oblique, which makes the length of the slant heights different. Having the same radius, height, and volume does not make the cones congruent when the corresponding slant heights are not equal. Congruent cones must have congruent corresponding slant heights, with all other corresponding parts being congruent.
B) 9(n − 9)
C) n − 9 + 8n
D) 9n − 9
A. 300 in²
B. 360 in²
C. 204 in²
D. 420 in²
Answer:
B. 360 in²
Step-by-step explanation:
Rectangle 1
length = 12 in
breadth = 12 in
Surface area = length × breadth
⇒Surface area = 12 × 12
⇒Surface area = 144 inch²
Rectangle 3 (behind)
length = 12 in
breadth = 13 in
Surface area = length × breadth
⇒Surface area = 12 × 13
⇒Surface area = 156 inch²
Rectangle 2
length = 12 in
breadth = 5 in
Surface area = length × breadth
⇒Surface area = 12 × 5
⇒Surface area = 60 inch²
Adding the 3 areas we get
144+156+60 = 360 in²
∴ 360 in² of paint is needed to cover all the rectangular faces of the prism.
To solve this problem, one must find the surface area of the rectangles. This is the total area of each rectangle added together. The formula for the area of the rectangle is w*l=A
Rectangle one: 13*12 = 156 in^2
Rectangle two: 5*12 = 60 in^2
Rectangle three: 12*12 = 144 in^2
156 + 60 + 144 = 360 in^2
This means total to paint the rectangle sides of the prism, we need 360 in^2 of paint.
Answer:
Y=20
Step-by-step explanation: