Page 162 - NUMINO TG_6A
P. 162
10Fill It with Chocolate Pieces Unit
1 . The volume of cylinders can be found by using the formula. 1. Have students solve the problems to better
understand how to calculate the volume of a
Volume of cylinder = (area of base) (height) cylinder. Students can become comfortable
working with prisms and, by extension, other
Find the volume of each cylinder. three-dimensional figures.
a. b. 2. In the following problems, the area of the
base and the height are all given, so it’s a
12.56cm2 78.5ft2 simple matter of applying the formula.
Have students find the volume of each prism:
10cm 4ft Volume (area of base) (height).
12.56 10 = 125.6 (cm3) 78.5 4 = 314 (ft3)
2 . The volume of prisms can be found by using the volume of
rectangular prisms and cylinders.
Volume of prism = (area of base) (height)
Find the volume of each prism.
a. b. c.
8 cm2 20 in.2 3.5 m
12 in. 6.8 m2
7cm
8 7 = 56 (cm3) 20 12 = 240 (in.3) 6.8 3.5 = 23.8 (m3)
10. Fill It with Chocolate Pieces 89
Remind students to be careful with the units when they calculate their answers. With three-dimensional
figures, the unit value is a cube. For example, in 1a, the answer should be expressed as
125.6 (cm3).
Tell students that they can use the same formula to find the volume of any three-dimensional figure, as long
as it has parallel sides and a top and base of the same shape: Volume (area of base) (height).
6A Unit 10 145
1 . The volume of cylinders can be found by using the formula. 1. Have students solve the problems to better
understand how to calculate the volume of a
Volume of cylinder = (area of base) (height) cylinder. Students can become comfortable
working with prisms and, by extension, other
Find the volume of each cylinder. three-dimensional figures.
a. b. 2. In the following problems, the area of the
base and the height are all given, so it’s a
12.56cm2 78.5ft2 simple matter of applying the formula.
Have students find the volume of each prism:
10cm 4ft Volume (area of base) (height).
12.56 10 = 125.6 (cm3) 78.5 4 = 314 (ft3)
2 . The volume of prisms can be found by using the volume of
rectangular prisms and cylinders.
Volume of prism = (area of base) (height)
Find the volume of each prism.
a. b. c.
8 cm2 20 in.2 3.5 m
12 in. 6.8 m2
7cm
8 7 = 56 (cm3) 20 12 = 240 (in.3) 6.8 3.5 = 23.8 (m3)
10. Fill It with Chocolate Pieces 89
Remind students to be careful with the units when they calculate their answers. With three-dimensional
figures, the unit value is a cube. For example, in 1a, the answer should be expressed as
125.6 (cm3).
Tell students that they can use the same formula to find the volume of any three-dimensional figure, as long
as it has parallel sides and a top and base of the same shape: Volume (area of base) (height).
6A Unit 10 145
