| Problem |
Solution |
|
3) In a regular octagon the lengths of the sides are all equal and the angles at the vertices are all equal. At a playground there is a merry-go-round for kids to spin around on that's in the shape of a regular octagon. The handles to hold on to go from the center of the merry-go-round out to each vertex. What is the angle created at the center between two adjacent handles?
|
1. At the center each handle is 1/8th of a full circle.
2. Angle at the center = 360/8 = 45 degrees.
|
4) A box has volume 24 cubic feet. It has a length of 3 feet and a width of 2 feet. If the width is increased by 1 foot, by how much does the volume increase?
|
1. Compute the height of the box given it's volume, length and width =
24 = 3 x 2 x h
6h = 24
h = 4 ft.
2. Add 1 foot to the width and compute the volume given the above information.
new area = 3 x 3 x 4 = 36 sq. ft.
3. Subtract the original volume from this = 36 - 24 =
12 cu. ft.
|
|
5) Ella estimates the distance between two cities on a map using her thumb from knuckle to thumb tip. The distance is 7 thumbs units. Pete uses his thumb to measure the same distance and comes up with 6 thumb units. Her thumb unit measures 15 miles. How many miles does Pete's thumb measure?
|
If Ella's thumb measures 15 miles then
Pete's thumb measures (7/6) x 15 =
17.5 miles.
|
