Surface Area and Volume of Three Dimensional Figures

The sum of the areas of all surfaces (faces) of a 3-D figure.

• Surface Area

• Volume

• Composite Figure

• Base

The amount of space inside a 3-D figure.  It is measured in cubic units.

• Prism

• Volume

• Cubic Units

• Surface Area

Used to measure volume.  Tells the number of cubes of a given size it will take to fill a 3-D figure.

• Prism

• Volume

• Cubic Units

• Base

A figure with length, width, and height.

• Surface Area

• 3-Dimensional Figure

• Composite Figure

• Prism

Refer to the illustration. What is the surface area of the figure? (just the number no label)

Mathematical Equivalence

ON

Tags

7.9.D

Find the total surface area of the figure.

• 500 ft²

• 515 ft²

• 525 ft²

• 510 ft²

Match the formula to correct three-dimensional figure.

• Total Surface Area of a Rectangular Prism

• Total Surface Area of a Cylinder

• 2πrh

• Total Surface Area of a Triangular Prism

• Lateral Surface Area of Rectangular Prism

• 2πr² + 2πrh

• Lateral Surface Area of a Cylinder

A restaurant built a ramp to make their facility more accessible to people in wheelchairs. They covered the entire surface of the ramp with metal to make it more durable. How much metal would be needed if there is no overlap?

• .06 m²

• 1.71 m²

• 1.75 m²

• 1.79 m²

Sara uses a small box with no lid to store her jewelry in. The box measures 12.3 inches wide, 6.4 inches long, and 7.5 inches tall. Sara wants to cover the outside of the box with patterned contact paper. What is the surface area of the outside of the box?

Mathematical Equivalence

ON