Geometry

3. Toshiro wants to build a rock garden with 180 cm of edging. He wants to maximize the area enclosed. Should he build a rectangular or a circular garden? What will the area be?

A factory is to be built on a lot measuring 150 ft by 200 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory. What must the width of this lawn be, and what are the dimensions of the factory? Final answer with rough solution required.

The volume V of a right-circular cylinder is computed using the values d = 3.4 m for the diameter and h = 6.1 m for the height. Use the Linear Approximation to estimate the maximum error R in Vif each of these values has a possible error of at most 2%. Recall that V= πr²h.

A developer decides to build a fence around a neighborhood park, which is positioned on a rectangular lot. Rather than fencing along the lot line, he fences x feet from each of the lot's boundaries. By fencing a rectangular space 141yd² smaller than the lot, the developer saves $432 in fencing materials, which cost $12 per linear foot. How much does he spend ? a. $160 b. $456 c. $3,168 d. The answer cannot be determined from the given information.

Ying Lun has a cube jewellery box with side lengths of 8 cm. She wants to paste colour paperon each surface of the box. At least how many square centimeters of colour paper does sheneed? (A)64(B)288(C)384(D)512

There are 3 wooden blocks of cubes A, B and C of different sizes. The length of the side of cube A is 1/2 of block B where as the length of side of cube B is 2/3 of cube C. If cubes A, B and C are combined into one big cube with a minimum size (each with at least one cube use done), what is the minimum pieces of the three cubes are needed?

3. Using the triangular unit shown as the fundamental area unit, find the area of the following figures.

\text { Given: } \overline{W I} \cong \overline{W S} \overline{\mathrm{IL}} \cong \overline{\mathrm{SL}} \text { Prove: } \overline{\mathrm{IO}} \cong \overline{\mathrm{SO}}

Draw a square with two units on each side. Then draw a second square that has twice the area as the original.Label the sides of the squares. (6 pts)

2. The surface area of a three-dimensional figure is the sum of the area measures for eachof the figure's faces. Find the surface area of the cube shown below. 3 in.1: How many faces does the cube shown above have? : Find the area of one face of the cube shown above. Show your work. 1: Find the surface area of the cube shown above. Show your work.