find volume using formulas & composed

figuresMA.5.MD.5

UNWRAPPED BENCHMARKMA.5.MD.5: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Dora received a box that has the shape of a rectangular prism filled with 1-inch cubes. A layer of 4 rows with 9 cubes in each row filled the bottom of the box. The volume of the box is 144 cubic inches. How many layers of cubes were in the box?

Finding Missing

Dimensions

Tim packed 1-inch cubes into a rectangular prism. A layer of 6 rows with 5 cubes in each row filled the bottom of the rectangular prism. The volume of the rectangular prism is 180 cubic inches. How many layers of cubes can Tim fit in the rectangular prism?

Finding Missing

Dimensions

Michel is filling a box that has the shape of a rectangular prism with 1-inch cubes. A layer of 9 rows with 7 cubes in each row filled the bottom of the box. The volume of the box is 315 cubic inches. How many layers of cubes Michel can fit in the box?

Finding Missing

Dimensions

Sammy bought a puzzle that came in a box that has a width of 6 inches, a length of 9 inches, and a height of 8 inches. He placed it in a packing box that has a volume of 562 cubic inches so he could mail it with some other things. Calculate how many cubic inches of space were left in the box.

Calculating Remaining

Volume

Lopez made a gift box that has a width of 4 inches, a length of 5 inches, and a height of 7 inches. He put it in a box that has a volume of 357 cubic inches so he could carry it along with some other things. Calculate how many cubic inches of space was left in the box.

Calculating Remaining

Volume

Martin has a geometry box that has a width of 3 inches, a length of 7 inches, and a height of 4 inches. He put it in a box that has a volume of 135 cubic inches so he could arrange it with some other things. Calculate how many cubic inches of space was left in the box.

Calculating Remaining

Volume

Target practiceStrategy # 1: Cubes Strategy

CIRCLE the numbers

UNDERLINE the key words

BOX the question

ELIMINATE the extra information

and SOLVE the problemStrategy # 3: Draw a picture

or an array

Use dots, squares, circles, lines, boxes, or number lines.

Strategy # 4: Create a Table

Strategy # 2: T-1-2-3-4 StrategyT

(Total)1

(Measured Amount)

2(Variable Amount)

3(Added Amount)

4(Subtracted

Amount)

Jordan built steps leading to his house. What is the volume of the steps?

540 cu ft540 cu ft1296 cu ft1296 cu ft

780 cu ft780 cu ft423 cu ft423 cu ft

What is the volume of the shape below?

500 cu in.500 cu in.108 cu in.108 cu in.

400 cu in.400 cu in.300 cu in.300 cu in.

What is the volume of the steps?

733 cu ft733 cu ft640 cu ft640 cu ft

526 cu ft526 cu ft499 cu ft499 cu ft

Jessy filled a box with smaller boxes shaped like cubes. What is the volume of the box Jessy filled?

4 in.

6 in.

10 in.

143 cu in.143 cu in.240 cu in.240 cu in.

128 cu in.128 cu in.320 cu in.320 cu in.

Darwin keeps his marbles in a box that is 15 inches long, 7 inches wide, and 4 inches high. What is the volume of this box?

640 cu in.640 cu in.520cu in.520cu in.

420 cu in.420 cu in.320 cu in.320 cu in.

Suzanne bought a toy for her son that came in this box:

What is the volume of this box?

5 in.

5 in.

12 in.

300 cu in.300 cu in.180 cu in.180 cu in.

560 cu in.560 cu in.420 cu in.420 cu in.

Sonia is designing a cabinet to store products in the shop. The length and width of one design can not be the same as the length or width of another design. She wants the cabinet to be 5 feet high with a volume of 75 cubic feet. How many different designs, all with whole number dimensions, can she make?

5522

7744

Silvia is designing a dog house for her dogs. The length and width of one design can not be the same as the length or width of another design. She wants the dog house to be 4 feet high with a volume of 48 cubic feet. How many different designs, all with whole number dimensions, can she make?

6622

121233

Raven wants to design a rectangular storage room for the farm. The length and width of one design can not be the same as the length or width of another design. He wants the room to be 7 feet high with a volume of 63 cubic feet. How many different designs, all with whole number dimensions, can he make?

1144

3322