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Volume of Rectangular Prisms
Objective: To develop and use a formula for the volume of a rectangular prism
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What is volume? The volume of a solid object such as a brick or a ball is a measure of how much space the object takes up. The volume of a container such as a box is a measure of how much the container will hold.
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Volume Volume – the amount of space occupied by an object. Example:
The VOLUME of this cube is all the space contained by the sides of the cube, measured in cube units (units3). h w l
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The Volume of a Rectangular Prism
1” 1” 1” 2.0” Volume = 12 in3 3.0” 2.0”
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Volume Volume – the amount of space occupied by an object. Example:
The VOLUME of this cube is all the space contained by the sides of the cube, measured in cube units (units3). h w l
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Example: The AREA of the base of this rectangular prism is l x w.
Volume Volume – To calculate the volume of a prism, we first need to calculate the area of the BASE of the prism. Example: The AREA of the base of this rectangular prism is l x w. h w l
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Volume We find that: Volume = (l x w) x h
Volume – Once we know the area of the base, this is then multiplied by the height to determine the VOLUME of the prism. We find that: Volume = Area of Base x Height Volume = (l x w) x h h w l
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Volume (Rectangular Prism)
Formula: V = l x w x h = - cubic. unit h w l
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Volume Find the volume of this prism… Formula: V = l x w x h
= 7 x 5 x 4 = cubic. cm 7 cm 4 cm 5 cm
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Volume Formula: V = l x w x h = 6 x 5 x 8 = 240 cubic. cm
Find the volume of this prism… Formula: V = l x w x h = 6 x 5 x 8 = cubic. cm 8 cm 5cm 6 cm
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Let’s talk about it.
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Open you’re my word of Math to page 239
Complete pages with your partner. Show your completed work to a teacher to receive your homework assignment.
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