Volume and Surface Area

Find the area of the triangle

• 48 sq cm
• 24 sq cm
• 30 sq cm 

Tags

CCSS.6.G.A.1

What is the area of the shaded region?

• 20 sq cm
• 4 sq cm
• 30 sq cm
• 24 sq cm

Tags

CCSS.3.MD.C.7D

Job: Air Conditioning Specialist - A customer orders a 31-gallon tank to fit in a rectangular area measuring 14 inches by 8 inches. How high should the tank be? (Hint: there are 231 cubic inches in 1 gallon.)

Would you need to calculate volume or surface area?  How do you know?

• surface area - rectangular area

• volume - fit inside a rectangular area

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Job: Airplane Mechanic - How many cubic feet of baggage will a compartment 5ft 6in by 3ft 9in by 2ft hold?  

Would you need to calculate volume or surface area?  How do you know?

• Surface Area - covering the outside of the plane

• Volume - storage inside plane

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Job: Civil Engineer - If 0.24 (24 hundredths) of a bag of cement produces 1 cubic foot of concrete, how many full bags are needed for a 135-foot long retaining wall that has a 6 foot cross-section?

Would you need to calculate volume or surface area?  How do you know?

• Surface Area - creating/ building something

• Volume - cubic feet, filling the wall to create it

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Job:  Air Conditioning Specialist

A closed rectangular tank 60 inches by 20 inches by 10 inches must be covered inside with sheet copper lining. How much needs to be covered?

Surface Area or Volume?

• Surface Area

• Volume

If you wanted to know how much metal is need to make a can you would be finding the ______

• Surface Area

• Volume

Job: Painter - A room is 13 feet long, 11 feet wide, and 10 feet high. In the room, there are three windows that are each 4 feet wide and 5 feet tall. If one gallon of paint covers 350 square feet, how many gallons of paint do you need to paint the walls and door of the room? 

Would you need to calculate volume or surface area?  How do you know?

• surface area - painting the room (walls & door)

• volume - filling the room with paint

Is surface area.......

• Filling in a 3 dimensional shape

• wrapping the outside of a 3 dimensional shape

A triangular prism is shown.  What is the surface area of the triangular prism?

• 458 m²
• 408 m²
• 384 m²
• 360 m²

Tags

CCSS.7.G.B.6