Calculating Volume and Dimensions of Planters

In this video tutorial, Mr. Hul explains the concepts of volume and surface area through practical examples. The lesson begins with calculating the area of a shaded region by subtracting the area of a smaller rectangle from a larger one. It then moves on to calculating the volume of a shell, including its insulation, and determining the water capacity it can hold. The final section involves designing a brick planter, calculating its interior dimensions, and determining the number of bricks needed, along with the cost and delivery considerations.

What is the formula to find the area of a shaded region within a rectangle?

• Area of large rectangle minus area of small rectangle

• Area of small rectangle minus area of large rectangle

• Product of areas of both rectangles

• Sum of areas of both rectangles

How do you calculate the volume of a cube?

• Length times width divided by height

• Length plus width plus height

• Length times width times height

• Length times width

What is the volume of the insulation in the box?

• Product of volumes of inner and outer boxes

• Volume of inner prism minus volume of outer box

• Volume of outer box minus volume of inner prism

• Sum of volumes of inner and outer boxes

How do you convert cubic centimeters to liters?

• Multiply by 1000

• Multiply by 10

• Divide by 10

• Divide by 1000

What shape is the brick planter designed in?

• Pyramid

• Right rectangular prism

• Sphere

• Cylinder

What are the interior dimensions of the planter if the wall thickness is equal to the length of the bricks?

• 9 ft by 6 ft

• 11 ft by 8 ft

• 12 ft by 9 ft

• 10 ft by 7 ft

How do you calculate the volume of bricks needed for the planter?

• Product of volumes of interior and exterior

• Volume of interior minus volume of exterior

• Sum of volumes of interior and exterior

• Volume of exterior minus volume of interior

How many bricks are needed to construct the planter?

• 1000 bricks

• 1371 bricks

• 258 bricks

• 500 bricks

What is the cost of each brick used in the planter?

• $0.50

• $0.82

• $1.50

• $1.00

What is the delivery charge per ton for the bricks?

• $25

• $15

• $20

• $10