Topic D

TOPIC D: Volume and the Operations of Multiplication and Addition

Dear Family,

Your student is learning to use the formula V = l × w × h or V = B × h to find the volume of right rectangular prisms. They rely on what they know about the prism and use the formula to find the volume efficiently. Your student uses what they know about volume to determine the volume of composite figures. They also distinguish among situations that ask for the perimeter, area, or volume.

AT HOME ACTIVITY

Prism Pursuit

Gather a ruler and some rectangular prisms such as boxes, soap bars, or books, Work with your student to measure the dimensions of each prism to the nearest centimeter. Then have them calculate the volume of the prisms by using the formula V = l × w × h or V = B × h. Here are some examples of prisms you could use with your student.

• A cereal box is 12 inches tall, 8 inches wide, and 2 inches long. The volume of the box is 192 cubic inches. (12 × 8 × 2 = 192)

• The bottom of a bar of soap is 7 centimeters long and 7 centimeters wide. The bar is 3 centimeters tall. The base of the bar is 49 square centimeters. (7 × 7 = 49) The volume of the bar is 147 cubic centimeters. (49 × 3 = 147)

Composite Figure Sculptures

Invite your student to gather 8 to 10 different small prisms such as blocks, candies, shoeboxes, or tissue boxes. Have your student find the volume of each prism. Then challenge them to use the prisms to create a sculpture by using one or more of the following guidelines. For each sculpture they create, have your student find the total volume.

• “Make a sculpture that has a volume greater than 300 cubic centimeters.”

• “Make a sculpture that uses three prisms.”

• “Make a sculpture that is taller than 100 centimeters.”

Find a sample of our lessons below to help support MATH TALK at home.

Students also have these in their APPLY workbook.

Lesson 22

Find the volumes of right rectangular prisms by using the area of the base.

I can use the formula

V=B×h

to determine the volume of a right rectangular prism. I know that any face of a right rectangular prism can be its base.

EM2_G5_M5_TD_L22_PracticeSolutions.pdf

EM2_G5_M5_TD_L22_PracticePartner.pdf

Lesson 23

Find the volumes of right rectangular prisms by multiplying the edge lengths.

I can multiply a prism’s length, width, and height to use the formula

V=l×w×h

and determine the prism’s volume. I know that formulas are always true and that I can use a formula to solve problems about the volume of any right rectangular prism if I have enough information.

EM2_G5_M5_TD_L23_PracticePartner.pdf

EM2_G5_M5_TD_L23_PracticeSolutions.pdf

Lesson 24

Solve word problems involving volumes of right rectangular prisms.

Volume formulas help me find volumes or unknown dimensions of right rectangular prisms in real-world situations. When I know the volume of a right rectangular prism, I can determine possible dimensions for the prism.

EM2_G5_M5_TD_L24_PracticePartner.pdf

EM2_G5_M5_TD_L24_PracticeSolutions.pdf

Lesson 25

Find the volumes of solid figures composed of right rectangular prisms.

I can find the volume of a figure composed of right rectangular prisms by finding the volumes of right rectangular prisms within the solid figure and adding them.

EM2_G5_M5_TD_L25_PracticePartner.pdf

EM2_G5_M5_TD_L25_PracticeSolutions.pdf

Lesson 26

Solve word problems involving perimeter, area, and volume.

I know that the distance around something is its perimeter. The amount it takes to cover a two-dimensional space is its area. The amount of three-dimensional space something takes up is its volume. Sometimes I need to use all three measurements to solve a problem.

EM2_G5_M5_TD_L26_PracticePartner.pdf

EM2_G5_M5_TD_L26_PracticeSolutions.pdf

Lesson 27

Apply concepts and formulas of volume to design a sculpture by using right rectangular prisms, part 1.

I can create a sculpture by using right rectangular prisms and calculate the sculpture’s total volume. I can create a right rectangular prism with a volume that is a fraction of the volume of another prism.

EM2_G5_M5_TD_L27_PracticeSolutions.pdf

EM2_G5_M5_TD_L27_PracticePartner.pdf

Lesson 28

Apply concepts and formulas of volume to design a sculpture by using right rectangular prisms, part 2.

I can describe, analyze, interpret, and evaluate a sculpture to check that it meets given guidelines. I can determine whether volume calculations are accurate.

EM2_G5_M5_TD_L28_PracticePartner.pdf

EM2_G5_M5_TD_L28_PracticeSolutions.pdf

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