Prisms Application

A movie theater sells two sizes of popcorn, large and small, in bags shaped like rectangular prisms. The large bag has a height of 9 inches, a length of 6 inches, and a width of 4 inches. The small bag has the same width and length as the large bag, but one-third of the volume. What is the height of the small bag of popcorn?

• 3 inches

• 9 inches

• 4.5 inches

• 2 inches

A house is being constructed with large and small bricks in the shape of rectangular prisms. All of the small bricks have a height of 2 inches, a length of 8 inches, and a width of 3.5 inches. All of the large bricks have a height of 2 inches, a length of 16 inches, and width of 3.5 inches. What is the difference in the surface area of one large brick and one small brick?

• no difference

• 56 inches

• 88 inches

• 72 inches

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.

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.

What is the volume of this prism?

• 7 cubic units

• 4 cubic units

• 6 cubic units

• It's impossible to find

What is the surface area of the rectangular prism?

• 42 units²

• 18 units²

• 21 units²

• 36 units²

Which formula can be used to find the volume of a rectangular prism?

• length x width

• length x width x height

• height x length

• length + width + height

What means the sum of the areas of all the faces?

• volume

• surface area

• square units

• cubic units

If the height of the rectangular prism is multiplied by a scale factor of 4, which of the following is true?

• The volume remains the same.

• The volume is eight times as large.

• The volume is also multiplied by a scale factor of 4.

• The volume increases by 4.

Look at the prisms. Which statement is true about the prisms?

• The surface area of prism A is 1/5 of the surface area of prism B.

• The volume of prism B is 5 times the volume of prism A.

• The volume of prism B is 1/5 of the volume of prism A. 

• The surface area of prism A is 1/2 fo the surface area of prism B.A