FINDING VOLUME USING FORMULAS Volume

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

What is Volume? Volume is the measure of space inside a solid figure. Volume is measured in cubic units. How can we find volume? Counting cubic units. Using Formulas

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

Modeled Practice: Figure Included Find the volume of the figure below: Step 1 – Write down the formula. V= l x w x h Step 2 - Identify the length (10), width(4) and height(5). Step 3 – Insert the values for length, width and height into the formula. V = 10 x 4 x 5 Step 4 – Multiply and solve for volume. V = 200 cubic units

Modeled Practice: Figure not Included Find the volume of a figure with the following dimensions: length = 4cm height = 6 cm width = 2 cm Step 1 – Write down the formula. V= l x w x h Step 2 - Identify the length (4cm), width(2cm) and height(6cm). Step 3 – Insert the values for length, width and height into the formula. V = 4 x 2 x 6 Step 4 – Multiply and solve for volume. V = 48 cubic centimeters. (48cm ³)

Guided Practice: Figure Included Find the volume of the figure below: Step 1 – Write down the formula. V= l x w x h Step 2 - Identify the length, width and height. Step 3 – Insert the values for length, width and height into the formula. V = Step 4 – Multiply and solve for volume. V =

Guided Practice: Figure not Included Find the volume of a figure with the following dimensions: length = 8 cm height = 9 cm width = 1 cm Step 1 – Write down the formula. V= l x w x h Step 2 - Identify the length, width and height Step 3 – Insert the values for length, width and height into the formula. V = Step 4 – Multiply and solve for volume. V =

WORD PROBLEM Brandon has a shoe box with a height of 10 inches. His shoe box also has a length that is 4 inches and a width that is 3 inches. What is the volume of Brandon’s shoe box?

Word Problems Modeled Step 1 –Draw the figure Step 2 Write down the formula. V= l x w x h Step 3 - Identify the length (4in), width (3in) and height(10in). Step 4 – Insert the values for length, width and height into the formula. V = 4 inches x 3 inches x 10 inches Step 5 – Multiply and solve for volume. V =120 inches ³ 10 ins 4 ins 3 ins

GUIDED WORD PROBLEM Henry has an aquarium with a height of 12 inches. His aquarium also has a length that is 6 inches and a width that is 5 inches. What is the volume of Brandon’s shoe box?

Word Problems Guided Step 1 –Draw the figure Step 2 Write down the formula. V= l x w x h Step 3 - Identify the length, width and height. Step 4 – Insert the values for length, width and height into the formula. V = Step 5 – Multiply and solve for volume. V =

Independent Practice With a partner make a model out of construction paper and solve the volume for the following word problem. Write a short paragraph describing your pool and the steps you took in solving the problem. Ms. V wants to build a pool in her backyard. She wants a pool that is 5 feet tall, 6 feet wide and 8 feet long. What would her pool look like? What is the volume of her pool? Use the following scale - Scale: 1 inch = 1 foot

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