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KATRIN_1 [288]
3 years ago
12

A rectangular prism has a length of 6cm width of 3cm and a height of 4 1/2 cm.

Mathematics
2 answers:
lapo4ka [179]3 years ago
6 0

I guess it's <br />40.5 hope soo

balu736 [363]3 years ago
6 0

Answer:

To fill the rectangular prism, 648 cubes are needed.

Step-by-step explanation:

It is given that a rectangular prism has a length of 6 cm width of 3 cm and a height of 4 1/2 cm.

The volume of a rectangular prism is

V=length\times breadth \times height

V_1=6\times 3 \times 4\frac{1}{2}

V_1=18 \times \frac{9}{2}

V_1=81

The volume of rectangular prism is 81 cm³.

The volume of a cube is

V=a^3

Where a is the side length.

The volume of a cube with edge 1/2.

V_2=(\frac{1}{2})^3

V_2=0.125

To fill the rectangular prism, the required number of cubes is

n=\frac{V_1}{V_2}

n=\frac{81}{0.125}

n=648

Therefore, to fill the rectangular prism, 648 cubes are needed.

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The equation that runs through the location (4,-6) has the slope-intercept form,  y=-\frac{3}{4}x-3 .

<h2>Formation of the equation</h2>

A line's equation written in the slope-intercept form:

y=mx+b

where m= slope & b= y-intercept

The slope of two parallel lines is equal.

Currently, we know the line's equation:

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Hence the solution is  y=-\frac{3}{4}x-3 .

Learn more about slope-intercept form here:

brainly.com/question/9682526

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