What is the surface area of a rectangular prism with a width of 4mm, length of 10 mm, and height of 7mm?
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Answer:
Step-by-step explanation:
Part A.
Coordinates of A and B are,
A(-2, 2) and B(3, 2)
Rule for dilation of a point (x, y) by a scale factor k about the origin,
(x, y) → (kx, ky)
If the points A and B are dilated by a scale factor 3, image points will be,
A(-2, 2) → A'(-6, 6)
B(3, 2) → B'(9, 6)
Part B.
Following the same rule of dilation about the origin by a scale factor of about the origin,
A(-2, 2) → D(-1, 1)
B(3, 2) →
From the points given we know that the rectangle is 3 points wide and 2 points tall. If we rotate it 
around the x axis then we will receive the lying cyllinder which will be 3 points tall and 2 points wide (so its radius is 2/2 = 1 point). Now we can find the surface area of the cyllinder using appropriate formula:
