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Yanka [14]
2 years ago
15

The bottom layer of a rectangular prism contains 15 unit cubes The prism is made up of 5 equal-size layers what is the volume of

the prism in cubic units
Mathematics
1 answer:
borishaifa [10]2 years ago
6 0

Answer:

75 cubic units

Step-by-step explanation:

Bottom layer of a rectangular prism is made up of 15 unit cubes.

Therefore, area of the 15 unit cubes = 15(area of the base of one unit cube)

                                                            = 15(1)²

                                                            = 15 unit²

Number of layers of unit cubes in the rectangular prism = 5

So the height of the prism = 5 units

Volume of the prism = (Area of the base) × Height

                                  = 15 × 5

                                  = 75 cubic unit

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A dog trainer has 96 ft of fencing that will be used to create a rectangular work area. Encloses area of 320 ft^2. What will be
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Answer:

<em>The dimensions of the area will be 8 ft x 40 ft</em>

Step-by-step explanation:

<u>Area and Perimeter</u>

The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows

A=wl

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The dog trainer has 96 ft of fencing to cover a 320 ft^2 rectangular area. This means that

wl=320

2w+2l=96

A system of equations is formed

\left\{\begin{matrix}wl=320\\ 2w+2l=96\end{matrix}\right

We divide the last equation by 2

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solve for w

w=48-l

Replacing in the first equation

(48-l)l=320

Operating and arranging

l^2-48l+320=0

(l-8)(l-40)=0

We have two possible answers

l=8,\ l=40

Which gives us

w=40,\ w=8

In any case, the dimensions of the area will be 8 ft x 40 ft

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Ans option 3? it can be converted to a fraction!

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Paladinen [302]

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Step-by-step explanation:

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Step-by-step explanation:

Given

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