Polynomials, Rational Expressions And Operating With Radicals Worksheet Page 17
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18Application Problems Chapter 1
1.
For a cube of edge length x, find the ratio of the volume to the surface area.
Simplify, if possible.
2. Find the ratio of the area of the square to the area of the trapezoid. Simplify, if
possible.
3. Find the ratio of the volume to the surface area for the rectangular prism shown.
Simplify, if possible.
4. Write the area of the rectangle in simplest form.
5. Two triangles have the same base length, represented by x. The height of one
triangle is x + 1. The height of the other is x + 3. Write and simplify an expression
that represents the total area of the two triangles.
6. Express the exact area of the triangle in simplest radical form.
7. There are many variations on the game of chess. Most played are played on square
boards that consist of a number of small squares. However, some variations do not
use the familiar 64-square board.
a) If each small square on a grand chess board is 2 cm by 2 cm, each diagonal
of the whole board measures
800 cm. How many small squares are on the
board?
b) A Japanese version of the game is called Chu Shogi. If each small square
On this board measures 3 cm by 3 cm, each diagonal of the whole board will be
2592 cm. How many squares are on the board?
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