Unit 7 Test Review

Heather has a box that is a rectangular prism. The diagram above shows the box with the dimensions labeled in inches. What is the volume of Heather's box?

Mathematical Equivalence

ON

Answer explanation

Use the formula for a rectangular prism to solve the equation. V=Bh

Shandra purchases a paperweight in the shape of a rectangular pyramid and wants to cover it in decorative paper. She creates the net of the figure.

Shandra only wants to cover the lateral area of her paperweight. How many square inches of paper will she need?

Mathematical Equivalence

ON

Which of these three-dimensional figures is created when the net below is folded?

• 
• 
• 
• 

Look at the rectangular prism shown in the picture. Which equation bets represents the volume, V, of this prism in terms of x?

Explain the relationship between the volume of a triangular prism and a triangular pyramid that have congruent bases and heights.

Answer explanation

A triangular pyramid has a base that is a triangle and all other faces are triangles.

A triangular prism has two bases that are congruent (identical), parallel triangles and all other faces are parallelograms.

The figure above is a triangular prism. The triangular faces have a base of 8 centimeters and a height of 3 centimeters as shown. The volume of the prism can be determined by multiplying the area of the triangular face by the length. What is the volume of the prism?

Mathematical Equivalence

ON

Answer explanation

Use must use the area of a triangle formula first (A=1/2bh). Once you get this answer you then multiply this answer by the length of 12.

The volume of the first rectangular prisms in the picture is 1 unit x 5 units x 1 unit or 5 cubic units. Which formula would correctly give the volume for the rectangular prim in the second picture?

• V=lwh

Ray is making a model of a tent for his project. The area of the base is 72 square inches. Which of the following is the best estimate for the volume of the tent?

• 720 in cubed

• 1400 in cubed

• 14,400 in cubed

• 740 in cubed