CHAPTER 10 / ESSENTIAL GEOMETRY SKILLS 399
- C If the volume of the smaller container is
V=πr^2 h,then the volume of the larger container is
π(2r)^2 (1.5h) = 6 πr^2 h= 6 v.So the larger container
holds six times as much oatmeal as the smaller
one. The smaller container holds 10 ounces of oat-
meal, so the larger one holds 10 × 6 =60 ounces. - 30 Mark up the diagram as shown. If the base has
an area of 12, ABmust be 4. If the volume of the
box is 72, then the height must be 72/12 =6. AC
must be 5, because it’s the hypotenuse of a 3-4-5
triangle. So the rectangle has an area of 5 × 6 =30.
7. A If the volume of the water is 1/16 the volume
of the tank, the smaller triangle must have an area
1/16 that of the larger triangle. The two are simi-
lar, so the ratio of the lengths must be 1/4, because
1/16 =(1/4)^2. Therefore, the depth of water is 1/4
the depth of the tank: 12/4 =3.
A
BC
D
E
F
3
4
5
6