Perimeter and Area
Find the perimeter of a rectangle with dimensions measuring 24in by 7in.
P = (24 x 2) + ( 7 x 2) = 48 + 14 = 62in.
Find the volume of a rectangular prism with dimensions of 4cm, 8cm, 10cm.
V = l x w x h
V = 4 x 8 x 10
V= 320cm3
Find the volume of a rectangular prism who has a base area of 30cm2 and a height of 10cm.
V = B x h
V = 30 x 10
V = 300cm3
A fish tank measuring 40 centimeters by 22 centimeters by 18 centimeters contains 8.8 liters of water. What is the volume of water needed to fill the fish tank completely? Give your answer in liters. (1 cm3 = 1 mL)
7.04L of water are needed to fill the tank completely.
4 L = ___________mL
4,000mL
Find the area of a rectangle with dimensions measuring 24in by 7in.
A = l x w = 24 x 7 = 168in2
Find the volume of a rectangular prism whose sides measure 1.2cm, 9in, and 3in.
V = 1.2 x 9 x 3
V = 32.4in3
Matthew is baking a cake. The recipe calls for a pan that measures at least 20 cm by 20 cm by 5 cm. He does not have a pan of this size. Which pans could he use instead (More than one answer)?
A. 23 x 23 x 4
B. 11 x 21 x 6
C. 18 x 28 x 5
D. 13 x 23 x 8
All except B.
A, C, and D all have capacities greater than 2,000cm3, so they could hold the cake batter.
A rectangular tank with a base area of 484 square centimeters and height 25 centimeters is fully filled with water. 8 liters of water is poured away. What is the volume of water left in the tank? Give your answer in liters. (1 cm3 = 1 mL)
4.1L of water are left in the tank.
4 L 208 mL= ____________cm3
4,208cm3
Mike buys 14 feet of fence to make a backyard garden. List all of the possible dimensions for a garden. Which has the greatest area?
1 x 6
2 x 5
3 x 4
4 x 3
5 x 2
6 x 1
3 x 4 or 4 x 3 would have the greatest area
Find the volume of the rectangular prism drawn on the board (copy for study purposes for this evening too!)
V - 3/4cm or 0.75cm
Find the volume of the complex figure drawn on the board (copy for study purposes for this evening too!)
330cm3
A tank has a square base with an edge length of 28 centimeters and height 18 centimeters is 3/7 filled with water. The water is then poured into a cubical tank with an edge length of 12 centimeters until it is fully filled. What is the volume of water left in the square base tank? Give your answer in liters. (1 cm3 = 1 mL)
4.32L are left in the square base tank.
The base area of a tank is 108 square inches. The height of the tank is 11 inches. What is the capacity of the tank?
V = B x h
V = 108 x 11
V = 1,188in3
Rachel buys a 24ft2 rectangular rug for her room. List all possible dimensions for this rug (whole numbers only).
1 x 24
2 x 12
3 x 8
4 x 6
6 x 4
8 x 3
12 x 2
24 x 1
Draw and label a rectangular prism with a volume of 8m3
All possible options:
8 × 1 × 1 = 8
4 × 2 × 1 = 8
4 × 1 × 2 = 8
2 × 4 × 1 = 8
2 × 2 × 2 = 8
2 × 1 × 4 = 8
1 × 8 × 1 = 8
1 × 4 × 2 = 8
1 × 2 × 4 = 8
1 × 1 × 8 = 8
An airline charges $25 to check in a 50-lb bag on a flight. It is free for one piece of carry-on luggage. The maximum dimensions for a carry-on luggage are 14 in. × 9 in. × 22 in.
Landan’s clothing takes up a space of 3,000 in.3 which measures the maximum dimensions the airline will allow. Will he be able to fit his clothing in the carry-on bag?
No the capacity of the luggage is less than 3,000in3. He will not be able to fit his clothes in his carry on bag.
Tank A measuring 39 centimeters by 26 centimeters by 14 centimeters is completely filled with water. The water is then poured into Tank B measuring 22 centimeters by 14 centimeters by 18 centimeters until it is 3/ 4 full. What is the volume of water left in Tank A? Give your answer in liters. (1 cm3 = 1 mL)
10.038L of water are left in Tank A.
Find the complex volume of the figure on the board (copy for study purposes this evening too!)
15,392ft3
Find the Area of the complex figure drawn on the board (copy for study purposes for this evening too!)
88 yd2
Find the volume of a cube with edges measuring 6in.
V = l x w x h
V = 6 x 6 x 6
V = 36 x 6
V = 216in3
Find the volume of a cube with edges measuring 1/2 cm.
V = 1/2 x 1/2 x 1/2
V = 1/8 or 0.125 cm3
An oil tank with a square base with an edge length of 32 centimeters and height 66 centimeters is 3/4 filled with oil. The oil is then poured into Tank X measuring 42 centimeters by 16 centimeters by 24 centimeters until it is filled to its brim. What is the volume of oil left in the square base oil tank? Give your answer in liters. (1 cm3 = 1 mL)
34.56 L of oil are left in the square base oil tank.
Complete #3 on page 52 of your workbook. The problem will be displayed on the board as well.
30cm3