Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) The dimensions of this surface are 6 in x 6 in
Part 3) Molly needs to paint 228 square inches
Step-by-step explanation:
The picture of the question in the attached figure
Part 1) Which surface is shared by the two solids?
we know that
The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) What are the dimensions of this surface?
The surface is a square with side length 6 inches
so
The dimensions of this surface are 6 in x 6 in
Part 3) what is the area molly needs to paint?
we know that
The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids
so
therefore
Molly needs to paint 228 square inches
<em>i hope this helps you</em>
Im pretty sure it would be doubling the length of each side
if u download photomath and take a picture of each problem it will give u a solution to each problem along with the steps of how they got that answer
Answer:
B. 1.4 feet
Step-by-step explanation:
Let, the amount of increase be 'x' ft.
Since, the length and width of the canvas are 4 ft and 3 ft respectively.
Thus, area of the canvas, 
= length × breadth = 4 × 3 = 12 ft²
Since, the area of display model is twice the area of the canvas. We have,
= 2 ×
i.e. = 2 × 12
i.e. = 24 ft².
As, the length and width of the canvas are increased by 'x'.
The, length and width of the display model are (x+4) ft and (x+3) ft.
So, we get,
= length × breadth = (x+4) × (x+3) = 
Since, = 24 ft²
i.e. = 24
i.e. 
Solving the quadratic equation, we get,
i.e. x = -8.4 and x= 1.4
Since, the value of x cannot be negative.
Thus, x = 1.4 feet.
