6th Grade Mathletics - Geometry

Determine the volume of this aquarium. (Dimensions: 20 in. x 10 in. x 12 in.)

• 2,400 incues cubed

• 200 inches squared

• 120 inches squared

• 2,000 inches cubed

Use the table to determine the unit rate of gallons/cubic inches.

• The volume is 231 cubic inches.

• The volume is 500 cubic inches.

• The volume is 1000 cubic inches.

• The volume is 2000 cubic inches.

Determine the volume of the tank.

The dimensions are 20in x 10in x 11.55in.

• 3,310 cubic inches

• 1,310 cubic inches

• 2,310 cubic inches

• 12 gallons

a. Using the table of values below, determine the unit rate of liters to gallon.

• 1 gallon = 3.785 liters

• 1 gallon = 7.57 liters

• 1 gallon = 15.14 liters

b. Using this conversion, determine the number of liters needed to fill the 10-gallon tank.

• 27.85 liters

• 37.85 liters

• 47.85 liters

• 42 liters

c. The ratio of the number of centimeters to the number of inches is 2.54: 1. What is the unit rate?

• 2.54 centimeters per inch

• 1 inch per 2.54 centimeters

• 2.54 inches per centimeter

• 1 centimeter per 2.54 inches

Using this information, complete the table to convert the heights of the water in inches to the heights of the water in centimeters Jamie will need for his project at home. Only calculate the dimensions listed in blue. You will have three answers when you are finished.

• 8.8

  20.5

  29.3

• 8

  21

  30

• 8.8011

  20.5359

  29.337

• 8.7

  20.45

  29.44

Determine the amount of plastic film the manufacturer uses to cover the aquarium faces.

Hint: SA = 2(l xw) + 2(l x h) + 2(w x h)

• 48 square inches

• 148 square inches

• 1,200 square inches

• 1,120 square inches

We do not include the measurement of the top of the aquarium since it is open without glass and does not need to be covered with film. Determine the area of the top of the aquarium, and find the amount of film the manufacturer uses to cover only the sides, front, back, and bottom.

• 1,120 square inches

• 1,000 square inches

• 920 square inches

• 880 square inches

Since Jamie needs three aquariums, determine the total surface area of the three aquariums.

• 4,800 square inches

• 7,200 square inches

• 250 square inches

• 300 square feet