Question

Hink About the Process A right rectangular prism has length

Answer 1

Answer:

The length has 3 cubes

The width has 7 cubes

The height has 5 cubes

Step-by-step explanation:

Given

$Length = 1\frac{1}{2}yd$

$Width = 3\frac{1}{2}yd$

$Height = 2\frac{1}{2}yd$

$l = \frac{1}{2}yd$ --- edge length

Required

Determine the number of cubes in each dimension

To do this, we divide the dimension by the edge length

For the length, we have:

$n_{Length} = \frac{Length}{l}$

$n_{Length} = \frac{1\frac{1}{2}}{\frac{1}{2}}$

Express as:

$n_{Length} = 1\frac{1}{2} \div \frac{1}{2}$

Change to product

$n_{Length} = 1\frac{1}{2} * \frac{2}{1}$

$n_{Length} = 1\frac{1}{2} * 2$

$n_{Length} = 3$

3 cubes in the length

For the width, we have:

$n_{Width} = \frac{Width}{l}$

$n_{Width} = \frac{3\frac{1}{2}}{\frac{1}{2}}$

Express as:

$n_{Width} = 3\frac{1}{2} \div \frac{1}{2}$

Change to product

$n_{Width} = 3\frac{1}{2} * \frac{2}{1}$

$n_{Width} = 3\frac{1}{2} * 2$

$n_{Width} = 7$

7 cubes in the width

For the height, we have:

$n_{Height} = \frac{Height}{l}$

$n_{Height} = \frac{2\frac{1}{2}}{\frac{1}{2}}$

Express as:

$n_{Height} = 2\frac{1}{2} \div \frac{1}{2}$

Change to product

$n_{Height} = 2\frac{1}{2} * \frac{2}{1}$

$n_{Height} = 2\frac{1}{2} * 2$

$n_{Height} = 5$

7 cubes in the height