Changing Attributes of Rectangular Prisms

One fish aquarium measures 8 inches long, 5 inches wide, and 10 inches in depth. If another aquarium is the same size except its length is 16 inches long, how is the surface area of the second fish tank different than the first?

• The second is equal to the first.

• The second is more than the first.

• The second is less than the first.

• There is not enough information to tell.

Tags

CCSS.6.G.A.4

One planter holds 36 cubic inches of dirt. Another planter holds 12 cubic inches of dirt. The height and width of both planters is the same and the length of the larger planter is 6 inches. What is the length of the smaller planter?

• 18 inches

• 12 inches

• 6 inches

• 2 inches

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

If the height of the rectangular prisms changes from 5in to 10 in what would the difference in surface area be between the two rectangular prisms?

• 80 in.²

• 90 in.²

• 110 in. ²

• 105 in.²

Tags

CCSS.7.G.B.6

If the width of the rectangular prism is doubled, which of the following is true?

• The volume is half as large.

• The volume is twice as large.

• The surface area is twice as large.

• The surface area is half as large.

Tags

CCSS.7.G.B.6

A rectangular prism is 5 meters by 8 meters by 7 meters. The side that is 7 meters long is doubled, the other sides lengths are unchanged.  How does the volume change?

• The volume is twice as large

• The volume is 7 times as large

• The volume is 8 times as large

• The volume is 14 times as large

Tags

CCSS.7.G.B.6

Which statement is not true?

• Doubling the length of a prism will double its surface area.

• Multiplying the length of a prism by a scale factor of 4 will multiply the volume by 4.

• Doubling the length of a prism will double its volume.

• There is a direct relationship between a change in the length and a change in the volume.

Rectangular Prism A has a volume of 275 cubic inches. Rectangular Prism B has the same dimensions as Prism A except it is three times taller in height. What is the volume of Prism B?

• 278 cu in.

• 825 cu in.

• 92 cu in.

• 273 cu in,

Tags

CCSS.7.G.B.6

A cubic box is 12 inches on each side. Its height is tripled to create a new box. how does the volume of the new box compare to the volume of the original box?

• The volume of the new box doubles

• The volume is three times as large

• The volume is nine times as large

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A cereal company wants to change the shape of its cereal box in order to attract the attention of shoppers. The original box has dimensions of 8 inches by 3 inches by 11 inches. The new box has dimensions of 10 inches by 10 inches by 3 inches. Which holds more cereal?

• The 10 x 10 x 3 box.

• The 8 x 3 x 11 box.

• They are equal.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A packaging box has a height of 2 feet, a width of 3 feet, and length of 4 feet. A new box is manufactured that triples the height. The volume of the new box is how many times larger than the old box?

• 9

• 1.5

• 3

• 6

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2