morganmsaylor3056

19.03.2021 •

Mathematics

1) What are the dimensions (the length and width) of the entire park? 2) If x is equal to 290, what is the perimeter of the park?

1) What are the dimensions (the length and width) of the entire park?

2) If x is equal to 290, wh

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Ответ:

mwilliams457

12.07.2021

Mathematics

Part A: 126 cubes can be packed in rectangular Prism.

Part B: The Volume is 126 cubic foot.

Step-by-step explanation:

Given:

Length of Prism = $1\frac{1}{3} \ feet$

$1\frac{1}{3} \ feet$ can be Rewritten as $\frac{4}{3} \ feet$

Length of Prism = $\frac{4}{3} \ feet$

Width of Prism = 1 feet

Height of Prism = $2\frac{1}{3} \ feet$

$2\frac{1}{3} \ feet$ can be rewritten as $\frac{7}{3} \ feet$

Height of Prism = $\frac{7}{3} \ feet$

Now First we will find the Volume of Rectangular Prism.

Volume of Rectangular Prism is equal to length times width times height.

framing the equation we get;

Volume of Rectangular Prism = $\frac{4}{3} \times 1 \times \frac{7}{3} = \frac{28}{6}\ ft^3$

Also Given:

Length Sides of cube = $\frac{1}{3} \ feet$

Now we will find the volume of cube.

Volume of cube is given by cubing all sides.

Volume of cube = side^3

Volume of cube = $(\frac{1}{3})^3 = \frac{1}{27}\ ft^3$

Part A:

We need to find Number of Small Cubes can be packed in the rectangular prism.

Number of Small Cubes can be packed in the rectangular prism is equal To Volume of Prism Divided by Volume of Cubes.

framing in equation form we get;

Number of Small Cubes can be packed in the rectangular prism = $\frac{\frac{28}{6}}{\frac{1}{27}} = {\frac{28\times 27}{6} = 126\ cubes$

Hence 126 cubes can be packed in rectangular Prism.

Part B:

Given:

Unit cube volume = 1 cubic foot

Volume of Small Cubes = $126 \times 1 = 126\ ft^3$

Hence The Volume is 126 cubic foot.

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