Rectangular pyramid V = 1/3 B h 214.8 m³ 314.1 in³
Name___________________________________________________Date________________________Per._______
1)
2)
3)
Name
Rectangular prism cylinder
Triangular prism
Volume Formula
V = l • w • h
V = ∏r²h
V = l • w • h
2
Example 1
17.3 in
8 in
2 in 20 in
Example 2
18.4 in
3.5 in
276.8 in³
12 ft
13 ft
1,288 in³
10.5 m
5,878.1 ft³
12 cm
9 cm
692.4 m³
9.2 in
8 m
5) Cone V = 1/3 ∏r²h
7 cm
378 cm³
763.6 ft³
11.4 ft
12 in
10 in
552 in³
78.2 cm³
8.3cm
8 ft
6 cm
6)
Name
Triangular pyramid
Volume Formula
V = 1/3 B h
Example 1
75.8 in³
13 in
Example 2
229.5 cm³
18 cm
7) Rectangular pyramid
V = 1/3 B h
5 in
214.8 m³
9 m
7 in
8.5 cm
314.1 in³
9 cm
19 in
4 m 2 in
8) A party hat like the one below is going to be filled with candy.
If one cup is about 14.4 cubic inches, about how many cups of candy will fit in the party hat?
About 18 cups 10 in 5 in = radius
9) A rectangular pyramid has a length of 12 cm, a width of 7 cm, and a height of 8 cm. Explain the effect on the volume if each dimension were doubled. The volume is increased from 224 cm³ to 1,792 cm³
17.9 m 24.8 in
13) A basketball has a radius of 6inches. What is its volume? omit
14) One cabinet measures 4 ft. by 3.5 ft by 2.5 ft. Another cabinet measures 3.5 ft by 5 ft by 4ft. Which cabinet has the greater volume? 1 st cabinet = 35 ft³ and 2 nd cabinet = 70 ft³
The second cabinet has a greater volume
15) The area of the base of a triangular prism is 32 in². The height of the prism is 16 in. What is the volume? 512 in³
10) Which of the following baking pans will hold more cake batter?
16) The volume of the box below is 15 in³. B the cylinder baking pan holds more cake batter
11) A candle is in the shape of a cylinder. The radius is 5 cm and the height is 10 cm. Find the volume of the candle. 785 cm³
12) A company makes sandboxes that measure 5 ft by 4.5 ft by 2 ft.
A customer already has 26 cubic ft. of sand. How much more will she need to buy in order to fill the sandbox completely? Justify your answer. The customer will need 19 more cubic feet of sand
Which of the following are possible dimensions of the box?
A) 2.5 in. by 1.5 in by 5 in C) 1 in by 3 in by 4 in
B) 2 in by 2.5 in by 3 in D) 3 in by 2 in by 3 in
