In each prism here the base shapes is highlighted. Focusing on triangular and rectangular prisms, create a table like this one and determine the specific formula to calculate the volume of rectangular and triangular prisms. 3 D shape Name of base shape Area formula of base shape General volume formula Specific volume formula of the prism Rectangular prism Volume = Area of base × Height Triangular prism Volume = Area of base × Height

The surface a solid object stands on, or the bottom line of a shape such as a triangle or rectangle is the base of a three dimensional object. A prism is a shape with two identical shapes facing each other. These identical shapes are called base. Here, we have The base of the above prism is triangle. Area of triangle = 1 2 × base × height So, the specific volume formula of the prism = 1 2 × b × h × l Similarly, consider the following rectangular prism, The base of the above prism is rectangle. Area of rectangle = Length × Breadth So, the specific volume formula of the prism = l × b × h So, the complete table is, 3 D shape Name of base shape Area formula of base shape General volume formula Specific volume formula of the prism Rectangular prism Rectangle Length × Breadth Volume = Area of base × Height l b h Triangular prism Triangle 1 2 × base × height Volume = Area of base × Height 1 2 l b h

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How could we calculate the volume of rectangular prism without counting individual cubes? Explain.

Important Questions on Perimeter, Area and Volume Environmental Impacts

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MYP Mathematics A concept-based approach 1>Chapter 7 - Perimeter, Area and Volume Environmental Impacts>Volume of a rectangular prism>Q 5

Write down a formula to calculate the volume

V

of a rectangular prism if you know the measure of its length

l,

width

w

, and height

h

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MYP Mathematics A concept-based approach 1>Chapter 7 - Perimeter, Area and Volume Environmental Impacts>Reflect and discuss 5>Q •

Why it is important to have a general rule or formula for finding the volume of a prism?

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MYP Mathematics A concept-based approach 1>Chapter 7 - Perimeter, Area and Volume Environmental Impacts>Reflect and discuss 5>Q •

If the length, width, and height are all measured in centimeters, what would the units of volume be? Explain.

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MYP Mathematics A concept-based approach 1>Chapter 7 - Perimeter, Area and Volume Environmental Impacts>Reflect and discuss 5>Q •

Explain why the volume of a cube measuring

1 cm

on each side is

1 {cm}^{3}

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MYP Mathematics A concept-based approach 1>Chapter 7 - Perimeter, Area and Volume Environmental Impacts>Three-dimensional prisms>Q 1

How would you define the 'base' of a prism?

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MYP Mathematics A concept-based approach 1>Chapter 7 - Perimeter, Area and Volume Environmental Impacts>Three-dimensional prisms>Q 2

Marcos says, 'The base is the side that the shapes sits on'. Is Marcos correct? Explain.

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MYP Mathematics A concept-based approach 1>Chapter 7 - Perimeter, Area and Volume Environmental Impacts>Three-dimensional prisms>Q 3

Make a generalization in words about the relationship between the area of a base shape and the volume of its corresponding prism.

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MYP Mathematics A concept-based approach 1>Chapter 7 - Perimeter, Area and Volume Environmental Impacts>Three-dimensional prisms>Q 5

In each prism here the base shapes is highlighted.

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Focusing on triangular and rectangular prisms, create a table like this one and determine the specific formula to calculate the volume of rectangular and triangular prisms.

$3 D$ shape	Name of base shape	Area formula of base shape	General volume formula	Specific volume formula of the prism
Rectangular prism			Volume $=$ Area of base $\times$ Height
Triangular prism			Volume $=$ Area of base $\times$ Height

How could we calculate the volume of rectangular prism without counting individual cubes? Explain.

Important Questions on Perimeter, Area and Volume Environmental Impacts

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