How Many Cubes Fill Prism

Andrew built a rectangular prism out of cubes, as shown in the picture.  Andrew wrote the expression (3 x 10) x 4 to represent the volume of the prism, in cubic units. Which expression below could also be used to determine the volume of the prism?

• (3 x 10) + 4
• 3 x (10 x 4)
• 4 x (3 + 10)
• (4 x 3) + (4 x 10)

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Mrs. Morgan is filling a box with 1­inch cubes. She filled the bottom layer as shown.  When the box is completely full, how many cubes will be in the box?  

• 18 cubes 
• 27 cubes
• 90 cubes 
• 135 cubes 

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

Jenny made this figure using 1­inch cubes.  How many cubes did Jenny use to make her figure?  

• 42
• 68
• 84
• 91

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

A rectangular prism contains exactly 54 unit cubes. Its height is 6 units, and its width is 3 units. What is the area of the base of this rectangular prism, in square units?

• 6
• 9
• 18
• 162

Tags

CCSS.7.G.B.6

Tyler has a shoe box in the shape of a right rectangular prism. He is filling the box with cubes that are each 1 cubic inch in order to find the volume of the box. He finds that 48 cubes completely fill the bottom of the box and that he can put 2 more layers of cubes in the box. What is the volume of the box in cubic inches? 

•  48 cubic inches
•  50 cubic inches 
•  96 cubic inches
• 144 cubic inches

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

A moving company supplies boxes that are in the shape of cubes with edge lengths of 1 yard. The moving truck is 5 yards tall, 7 yards long, and 3 yards wide. What is the greatest number of boxes that can fit in the truck?

• 15
• 26
• 95
• 105

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Dan used 30 unit cubes to build a right rectangular prism. He used 6 of the 30 cubes to build the base. How tall was the prism?

• 5 cubes
• 12 cubes
• 24 cubes
• 36 cubes

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

A rectangular prism has a base with an area of 30 units. It has a height of 3 units. How many unit cubes would fit inside this rectangular prism?

• 10
• 30
• 33
• 90

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

Jamie places twenty 1-inch cubes in the bottom of a box as shown in the diagram below. She adds 4 more layers of the same number of cubes to completely fill the box.   What is the volume of the box?

• 20 cubic inches
• 24 cubic inches
• 80 cubic inches
• 100 cubic inches 

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

A rectangular prism has a base with an area of 30 units. It has a height of 3 units. How many unit cubes would fit inside this rectangular prism?

• 10
• 30
• 33
• 90

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2