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Practice: Volume - Unit Cubes & Boxes
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Practice Page
Directions: Read carefully.

1.
The dimensions of an antique box measure 12" × 16" × 4". Assuming the box to be a rectangular prism, and disregarding the thickness of the wood, find the volume of the box in cubic inches.

Choose:
336 cu.in.
608 cu.in.
672 cu.in.
768 cu.in.
antiquebox

 

 

2.
A right rectangular prism is shown at the right. How many unit cubes, each 1 cubic cm., can be used to fill the prism completely?

Choose:
43
234
1212
2808
yellowrect

 

 

3.
A right rectangular prism has a base with an area of 28¼ square inches and a volume of 452 cubic inches. What is the height, in inches, of the prism?
thinking
Choose:
12 in.
 12½ in.
14 in. 16 in.

 

 

4.
A right rectangular prism is built using small cubes as shown at the right.
What is the volume of one of the small cubes, in cubic inches?

Choose:
cube1
cube2
cube3
164
cubeyellow

 

 

5.
How many cubes with a side length of 6 inches are equivalent in volume to a cube with a side length of 18 inches?

Choose:
3
9
27
36
ladyboxes

 

 

6.
A right rectangular prism is shown at the right. How many small cubes, with each side measuring ¼", can be used to fill the prism completely?

Choose:
70
964
11,934
 20,156
purplerect

 

 

7.
A right rectangular prism has a square base with a side length of 8 inches. The volume of the prism is 768 cubic inches. Find the height of the prism, in inches.

Choose:
8 in.
10 in.
12 in.
15 in.
contemplate2

 

 

8.
A standard Rubik's cube measures 5.7 centimeters on each side. Each side of the cube shows the outlines of smaller cubes.
a) What is the volume of this standard Rubik's cube, in cubic centimeters?
Choose:
17.1
32.49
148.113
185.193

rubic
  b) What is the volume of one of the smaller outlined cubes, in cubic centimeters?
Choose:
4.15
6.859
17.1
18.321

 

 

9.
A box is wrapped in decorative paper. The box measures 9 inches long, 5 inches wide, and 4 inches high.
a) What is the minimum amount of decorative paper needed to cover the box?
Choose:
112 sq. in.
 180 sq. in.
202 sq. in.
 260 sq. in.
pinkwrap
 
b) If the box contains confetti, how many cubic inches of confetti are needed to fill the box?
Choose:
112 cu. in.
 180 cu. in. 202 cu. in. 260 cu. in.

 

 

10.
A large cube is divided into a series of smaller cubes, as shown.
a) How many smaller cubes make up the larger cube?
Choose:
25
50
125 250

b) What is the volume of one of the smaller cubes?
Choose:
9 cu. in.
45 cu. in.
25 cu. in. 27 cu. in.
metal die
 
c) How many times greater is the volume of the larger cube than that of the small cube?
Choose:
3 times
27 times
125 times
172.8 cu. in.

 

 

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