Area
Surface Area and Volume
Scale Drawings
Maps and Scale Factor
Vocabulary and Formulas
100

What is the area of a parallelogram that has base length of 9 inches and height of 8 inches?

Area= 72 in squared 

100

A rectangular prism has dimensions 3 cm by 4 cm by 6 cm. What is the Surface area?

Hint: How many faces does a rectangular prism have?

Surface Area= 108 cm squared 
100

Quadrilateral EFGH is a scaled copy of ABCD. Each length in EFGH is 3 times the corresponding length in ABCD. Segment AB is 7 units. What is the length of EF? 

21 units

100

The scale on one map is 1 cm to 8 km. The distance between two towns is 32 cm. What is the actual distance in km?

256 km

100

How do we find area of polygons?

LxW or BxH

200

A triangle has a height of 7 cm and a base of 5 cm. What is the area of the triangle? 

Area= 17.5 cm squared

200

A cube has a  side length of 7 inches. Select all expressions that represent its volume in cubic inches.

A. 72

B. 73

C. 6 X 72

D. 7 X 7 X 7

B, D

200

A scale drawing of a rectangle park is 4 inches wide and 6 inches long. The actual park is 240 yards long. What is the actual width, in yards?

160 yards wide

200

A drawing of a building has a scale of 1 inch to 25 feet. The drawing shows the building as 6 inches tall. What is the actual height?

150 feet tall

200

What does corresponding mean in terms of scaled copies?

The sides of both the original and copy figure that match 

300

A square has a side length of 12 cm. What is its area?

Area= 144 cm squared

300

A rectangular prism has dimensions 2 cm by 5 cm by 8 cm. What is its surface area?

Surface Area= 132 cm sq

300

A model boat uses a scale of 2 inches=24 feet. The model is 9 inches long. What is the actual length of the boat?

108 feet long

300

Triangle ABC is a scaled copy of triangle DEF. Segment AB corresponds to DE. If AB= 10 units and DE= 25 units, what is the scale factor from ABC to DEF?

Scale factor= 2.5 
300

How do we find surface area of 3 dimensional shapes?

Hint: There are 3 main steps I need to do to solve.

Step 1: Determine how many faces the figure has.

Step 2: Determine the area of each face.

Step 3: Add all areas together to find surface area.

400

Find the area of a triangle with a base of 14 inches and a height of 9 inches.

Area= 38 inches squared

400

A rectangular prism has dimensions 3 ft by 4 ft by 9 ft. What is the volume?

Volume=108 ft cubed

400

A scale drawing uses 1 inch=12 feet. A building is 5 inches tall in the drawing. How tall is the actual drawing?

60 feet tall.

400

A rectangle is enlarged by a scale factor of 4. Its original area is 15 square units. What is the area of the enlarged rectangle?

Area= 60 square units

400

What is a net?

Unfolded 3D shape that shows the faces 

500

A figure is made from a rectangle that is 10 ft by 6 ft and a triangle with a base of 10 ft and a height of 4 ft on top. What is the total area?

Hint: You have to DECOMPOSE the figure.

Area= 80 Ft Sq

500

A net is made of 6 rectangles. The three pairs of face areas are 18 cm sq, 24 cm sq, and 30 cm sq. What is the surface area of the rectangular prism?

Surface area= 144 cm sq

500

A map uses a scale of 4 cm= 10 km. What distance on the map would represent 35 km?

14 cm

500

A rectangle is enlarged by a scale factor of 3. Its original length is 8 units and its original width is 5 units. What are the new length, width, and area?

Length: 24 units

Width: 15 units

Area: 288 sq units

500

How can we use a Map Scale (ex. 1 inches= 12 feet) from a drawing to determine the realistic size of things?

We convert the smaller units into the larger units to find more realistic measurements