Area and Volume Application

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.3.MD.A.2

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: 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

A large enough bag to hold the giant pumpkin.

• Area

• Perimeter

• Volume

Find the volume.

• 25 ft³

• 126 ft²

• 126 cubic feet

• 11 cubic feet

Tags

CCSS.7.G.B.6

Calculate the volume of a rectangular prism with a length of 10 cm, a width of 4 cm, and a height of 5 cm.

• 200 cubic cm

• 50 cubic cm

• 100 cubic cm

• 150 cubic cm

Tags

CCSS.7.G.B.6

Enough dirt to fill the garden box.

• Area

• Perimeter

• Volume

A briefcase big enough to hold $1 million dollars

• Area

• Perimeter

• Volume

Find the volume of a cube with a side length of 5 cm.

• 25 cm³

• 125 cm³

• 75 cm³

• 100 cm³

Answer explanation

To find the volume of a cube, you cube the side length. Volume = side length^3 = 5^3 = 125 cm^3. Therefore, the correct answer is 125 cm^3.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2