Geometry B Final Review Spring 2024

Use the triangular prism shown to answer the following questions.

What is the volume of the triangular prism?

• 144 cubic cm

• 288 cubic cm

• 168 cubic cm

• 336 cubic cm

A local movie theatre sells popcorn in containers like the one below. How much popcorn will the container hold? (round answer to the nearest hundredth)

• 136.59 cubic inches of popcorn

  
  

• 819.54 cubic inches of popcorn

  
  

• 204.89 cubic inches of popcorn

  
  

• 400.51 cubic inches of popcorn

  
  

A carpenter made a wooden structure using one cube and one triangular prism.

The diagram shows the structure. The carpenter is only going to paint the

surface area of the front side of the wooden structure.

To the nearest hundredth, what is the surface area that will be painted?

• 2.63 square inches

• 3.75 square inches

• 4.88 square inches

• 5.25 square inches

For an art project, Lisa has decided to decorate the letter block “L” (shown in the diagram) built from two rectangular prisms.

Each wooden letter block is sold according to size. What is the volume of the letter shown?

• 36,000 cubic mm

• 12,000 cubic mm

• 24,000 cubic mm

• 48,000 cubic mm

If a square pyramid is sliced with a perpendicular plane, what two-dimensional cross section could be made?

• square

• rectangle

• triangle

• circle

Jackie created a cross section on a sphere. What plane figure did she discover after making the cut?

• circle

• oval

• square

• triangle

Figure 1 is a right rectangular pyramid, and Figure 2 is a right rectangular prism.

Which statement describes the cross sections of the figures created by the shaded planes?

• The cross sections of both figures are rectangles.

  
  

• The cross sections of both figures are parallelograms that are not rectangles.

  
  

• The cross section of Figure 1 is a triangle, and the cross section of Figure 2 is a rectangle.

  
  

• The cross section of Figure 1 is a trapezoid, and the cross section of Figure 2 is a rectangle.

  
  

Consider the figure composed of two rectangular prisms. What is the volume of this figure?

• 32 cubic inches

• 256 cubic inches

• 416 cubic inches

• 7,680 cubic inches

Jim needs to fill up his fish tank using the cylindrical bucket shown. How many buckets of water will it take to fill up his fish tank?

• 9 buckets

• 3 buckets

• 60 buckets

• 30 buckets

Keiko purchased posters for her best friend's birthday that are stored in a cylindrical tube shown. If she has 150 square inches of wrapping paper, will she have enough to cover the tube?

• yes

• no