Length Area and Volume Scale Factor

A rectangular prism has a volume of 24 cm³. If the height of the prism triples, and the other two dimensions stay the same, what is the new volume?

• 72 cm³

• 8 cm³

• 12 cm³

• 48 cm³

Tags

CCSS.7.G.B.6

One fish aquarium measures 16 inches long, 5 inches wide, and 10 inches in depth. If another aquarium is the same size except its length is 8 inches long, what is the volume of the smaller fish aquarium?

• 800 in³

• 31 in³

• 400 in³

• 1600 in³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Rectangular prism A has a volume of 8 in³. Rectangular prism B has a volume of 32 in³. The length and width of both prisms is the same. If the height of the smaller prism is 2 inches, then what is the height of the larger prism?

• 4 inches

• 10 inches

• 6 inches

• 8 inches

Tags

CCSS.7.G.B.6

Which statement is NOT true?

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

• Multiplying the length of a prism by a scale factor of

  4 will multiply the volume by 4.

• There is a direct relationship between a change in

  the length and a change in the volume.

• Doubling the length of a prism will double its surface

  area.

Tags

CCSS.7.G.B.6

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

• The volume increases by 28.

• The volume is eight times as large.

• The volume is half as large.

• The volume is twice as large.

Tags

CCSS.7.G.B.6

• 2 cubic feet

• 12 cubic feet

• 18 cubic feet

• 108 cubic feet

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Kaitlyn has a rectangular prism that has the same dimensions as the one shown except for the height 4 times as tall. What is true about the volume of Kaitlyn's rectangular prism?

• Her prism's volume is 4 cubic centimeters less than the volume of the prism above.

• Her prism's volume is 4 cubic centimeters more than the volume of the prism above.

• Her prism's volume is 4 times the volume of the prism above.

Tags

CCSS.7.G.B.6

The box Darnell has for his friend's birthday gift is too short. He needs it to be twice as tall. If he gets another box that has the same width and length, but the height is 2 times taller, how will the volume of his new box compare to his current box?

• The new box's volume will be 2 times bigger.

• The new box's volume will be 2 times smaller.

• The new box's volume will be 4 cubic units more.

• The new box's volume will be 4 cubic units less.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

If the length, width, or height of a rectangular prism triples, then the volume will triple as well.

• True

• False

Tags

CCSS.7.G.B.6

Circle B is a dilation of Circle A by point D. The area of Circle B is 900π. The area of circle A is 36π. What is the scale factor?

Mathematical Equivalence

ON

Tags

CCSS.7.G.A.1