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Alex787 [66]
2 years ago
13

A diagram of a rectangular prism filled with unit cubes is shown below. Each unit cube has

Mathematics
1 answer:
Naily [24]2 years ago
7 0

The volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

Hence, Option D) 72ft³ is the correct answer.

<h3>Rectangular Prism and Cube</h3>

A rectangular prism is simply a three-dimensional solid shape with six faces which are rectangles.

The volume of a rectangular prism is expressed as;

V = l × w × h

Where l is length, w is width and h is height of the prism

A cube is a three-dimensional solid with six equal square-shaped sides.  

Given the data in the question;

  • Length of the sides of the cube = 1 foot
  • Length of the rectangular prism l = 4 cubes × 1 foot = 4ft
  • Width of the rectangular prism w = 3 cubes × 1 foot = 3ft
  • Height of the rectangular prism l = 6 cubes × 1 foot = 6ft

To determine the volume of the rectangular prism, we substitute our given values into the expression above.

V = l × w × h

V = 4ft × 3ft × 6ft

V = 72ft³

Option D) 72ft³ is the correct answer.

Hence, the volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

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Why is 7/12 greater than 1/3 but less than 2/3
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Mariana [72]

The missing step 2 should be;

The quantity of the sum of thirty six plus two divided by 0.5 − 14.8 ÷ 8

The missing step 6 would be that; 76 - 1.85

<h3>How to Solve Mathematical Order of Operations?</h3>

We want to know the steps to solving the expression the quantity of the sum of six squared plus two divided by the absolute value of negative 0.5 − 14.8 ÷ 8

This can be expressed as;

6² + 2 ÷ |-0.5| - 14.8 ÷ 8

Thus, the next step which is step 2 should be;

The quantity of the sum of thirty six plus two divided by 0.5 − 14.8 ÷ 8

The missing step 6 would be that;

76 - 1.85

Read more about Order of Operations at; brainly.com/question/27529825

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7 0
2 years ago
You want to put some money in a simple interest account it pays 8% interest annually for 2 years you would like to earn 500 doll
Semmy [17]

You deposit some money into a bank account paying 8% simple interest per year. You received $500 in interest after 2 years. How much the deposit (principal) was?


Result


The principal was $3125.


Explanation


Find principal by using the formula I=P⋅i⋅t, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.


In this example I = $500, i = 8% and t = 2 years, so


IPPP=P⋅i⋅t=Ii⋅t=5000.08⋅2=3125

4 0
3 years ago
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There are two options for borrowing $5,000 from a bank: Bank A = 3% simple interest for 5 years Bank B = 2.5% simple interest fo
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BANK A:
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BANK B:
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They are the same
6 0
3 years ago
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