Question

prepare for finding volume using unit cubes
1 think about what you know about finding the volume of rectangular prisms. fill in each box. use words, numbers, and pictures. show as many ideas as you can.
what is it?
what i know about it
rectangular prism
examples
examples
examples

Explanation:

Step1: Define rectangular prism

A rectangular prism is a 3 - D shape with 6 rectangular faces. It has 8 vertices and 12 edges.

Step2: State volume formula

The volume \(V\) of a rectangular prism is given by \(V = l\times w\times h\), where \(l\) is the length, \(w\) is the width and \(h\) is the height.

Step3: Provide examples

A shoe - box is a rectangular prism. Its length could be 30 cm, width 15 cm and height 10 cm. The volume \(V=30\times15\times 10 = 4500\) \(cm^{3}\). A book is also a rectangular prism. If a book has length 20 cm, width 14 cm and height 2 cm, then \(V = 20\times14\times2=560\) \(cm^{3}\).

Answer:

What Is It? A 3 - D shape with 6 rectangular faces, 8 vertices and 12 edges.
What I Know About It? The volume formula is \(V = l\times w\times h\).
Examples: Shoe - box with \(l = 30\) cm, \(w = 15\) cm, \(h = 10\) cm and volume \(4500\) \(cm^{3}\); Book with \(l = 20\) cm, \(w = 14\) cm, \(h = 2\) cm and volume \(560\) \(cm^{3}\)