Volume FINDING COMBINED VOLUME USING FORMULAS Find the

Volume FINDING COMBINED VOLUME USING FORMULAS

Find the Volume! Find the volume of the rectangular prism below: 10 5 3 V = ______cubic units

How can we find Volume? How can we find volume? �Multiplication �Counting cubic units. �Using Formulas V= l x w x h V = Base x h

Volume Formulas �V = l x w x h l = length height w = width h = height �V = B x h B= Base (area) h = height length Base width

Modeled Practice: Figure Included � Find the volume of the figure below: 5 3 5 2 10 4 � Step 1 – Write down the formula for each figure. V= l x w x h � Step 2 - Identify the length (10), width(4) and height(5) for the bottom figure. Identify the length (5), width(2) and height (3) for the top figure. � Step 3 – Insert the values for length, width and height into the formulas. V = 10 x 4 x 5 V=5 x 2 x 3 � Step 4 – Multiply and solve for volume of each figure. V = 200 cubic units V = 30 cubic units � Step 5 – Add the volumes together to find the combined volume. V = 200 + 30, V = 230 cubic units

Modeled Practice: Figure not Included �Find the volume of a figure with the following dimensions: Figure (top) : length = 4 cm height = 6 cm width = 2 cm Figure (bottom) : length = 6 cm height = 2 cm width = 1 cm Step 1 – Write down the formula for each figure. V= l x w x h Step 2 - Identify the length (6 cm), width(1 cm) and height(2 cm) for the bottom figure. Identify the length (4 cm), width(2 cm) and height (6 cm) for the top figure. Step 3 – Insert the values for length, width and height into the formulas. V = 6 x 1 x 2 V=4 x 2 x 6 Step 4 – Multiply and solve for volume of each figure. V = 12 cm³ V = 48 cm³ Step 5 – Add the volumes together to find the combined volume. V = 12 + 48, V = 60 cm³

Guided Practice: Figure Included � Find the volume of the figure below: 4 1 3 2 8 2 � Step 1 – Write down the formula for each figure. V= l x w x h � Step 2 - Identify the length, width, and height for the bottom figure. Identify the length, width and height for the top figure. � Step 3 – Insert the values for length, width and height into the formulas. � Step 4 – Multiply and solve for volume of each figure. � Step 5 – Add the volumes together to find the combined volume.

Guided Practice: Figure not Included �Find the volume of a figure with the following dimensions: Figure (top) : length = 2 cm height = 4 cm width = 9 cm Figure (bottom) : length = 7 cm height = 2 cm width = 8 cm Step 1 – Write down the formula for each figure. V= l x w x h Step 2 - Identify the length, width and height for the bottom figure. Identify the length, width, and height for the top figure. Step 3 – Insert the values for length, width and height into the formulas. Step 4 – Multiply and solve for volume of each figure. Step 5 – Add the volumes together to find the combined volume.

WORD PROBLEM �Lisandra is baking a two layer cake. The top cake has a height of 3 inches, a length that is 6 inches and a width that is 3 inches. The bottom cake has a height of 2 inches, a length of 3 inches and a width of 3 inches. What is the volume of Lisandra’s cake?

Word Problems Guided � Step 1 – Draw the model � Step 2 - Write down the formula for each figure. V= l x w x h � Step 3 - Identify the length, width and height for the bottom figure. Identify the length, width, and height for the top figure. � Step 4 – Insert the values for length, width and height into the formulas. � Step 5 – Multiply and solve for volume of each figure. � Step 6 – Add the volumes together to find the combined volume.

GUIDED WORD PROBLEM �Kai has an pile of books on his desk. The bottom book has a height of 12 inches, a length that is 6 inches and a width that is 5 inches. The top book has a height of 3 inches, a width of five inches and a length of two inches. What is the combined volume of Kai’s books?

Word Problems Guided � Step 1 – Draw the model � Step 2 - Write down the formula for each figure. V= l x w x h � Step 3 - Identify the length, width and height for the bottom figure. Identify the length, width, and height for the top figure. � Step 4 – Insert the values for length, width and height into the formulas. � Step 5 – Multiply and solve for volume of each figure. � Step 6 – Add the volumes together to find the combined volume.

Independent Practice �With a small group find the combined volume of the stacked books at your table. Use the ruler to measure the length of the books in inches. Write a short paragraph describing the steps you took in solving the problem.

REVIEW �What did we learn today?