Volume of a Rectangular Prism Volume of a

Volume of a Rectangular Prism

Volume of a Rectangular Prism • The amount of space inside the prism. • Volume is measured in cubic units. • Formula: V = lwh • V in the formula represents volume. • The variable l represents length of the prism, the variable w represents the width, and the variable h represents the height.

Volume of a Cube • A cube is a special rectangular prism. The length, width, and height of a cube are equal. • Volume of a cube = l x w x h = s x s = (s³)

• Volume of a cube = l x w x h = s x s = (s³) Multiplying the same number or variable three times is called finding the cube of the number. Hint: In order to find a missing dimension, you may need to work backwards!

The volume of a rectangular prism with a width that stay the same but the length and height changes is given in the table Width (units) Length (units) Height (units) Volume (cubic units) 7 3 2 42 7 4 3 84 7 9 4 252 L volume of a rectangular W Which expression can 7 be used to find the prism whose width. Vis 7 units, width is w units and length is l units? A 7 xl÷h B (7 + l) x h C 4 xl h D 7 xlxh 1. Let’s look at our 6 th grade math chart to see if there is anything to help us. We should find the formula for volume of a rectangular prism. V = lwh

Width (units) Length (units) Height (units) 7 7 x x 3 4 9 L x x Volume (cubic units) 2 42 3 84 4 252 W V A 7 xl÷h B (7 + l) x h C 4 xl 2. We know that when variables are next to each other that it means to multiply. D 7 xlxh 3. Let’s check to see if that is the formula they are using. h V= l x w x h

Width (units) Length (units) Height (units) 7 7 A 7 xl÷h B (7 + l) x h C 4 xl h x x 3 4 9 L x x Volume (cubic units) 2 42 3 84 4 252 W V So it looks like we are multiplying the width by the length and height. Let’s check our answer choices to see if one of them is doing that. D 7 xlxh We find our choice to be D.

A cube has a side length of 4 inches. Which of the following expressions represents the volume of the cube? Let’s look at our 6 th grade math chart to see if there is anything to help us. A 4³ B 4+4+4 We should find the formula for volume of a cube. C 4 x 4+4 V = s³ D 4 x (4 + 4) So our answer must be A We know that s³ means s x s So if we replace 4 for s we would have 4³ or 4 x 4 x 4

Hope you wrote good notes