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CaHeK987 [17]
2 years ago
9

Describe in words the relationship between the length, width and height of a cuboid and its volume. ​

Mathematics
1 answer:
Sergio [31]2 years ago
3 0

Volume = length * width * height

Each asterisk * refers to the multiplication symbol

The volume of the cube is equal to the length times width times height

---------------------

Example:

Consider a cube that has length, width and height each equal to 4 cm

Volume = length * width * height

Volume = (4 cm) * (4 cm) * (4 cm)

Volume = (4*4*4) cubic cm

Volume = 64 cubic cm

----------------------

Another example:

We have a rectangular prism that has the following dimensions

length = 4 ft

width = 3 ft

height = 5 ft

Computing the volume gets us:

Volume = length * width * height

Volume = (4 ft) * (3 ft) * (5 ft)

Volume = (4*3*5) cubic ft

Volume = 60 cubic ft

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How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe
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The amount of cashew mixed is 5 pounds

<h3>Word problem on total cost</h3>

Cost of 1 pound of cashew = $14

Cost of 1 pound of peanut = $6.50

Total cost of 1 pound of the mixed nuts = $10.25

Cost of 5 pounds of peanuts = 5 x $6.50

Cost of 5 pounds of peanuts = $32.50

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Total cost of x cashew = 14x

Total amount of the mixed nuts = x + 5

Total cost of the mixed nuts = 10.25(x+5)

Total cost of the mixed nuts = 10.25x + 51.25

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14x - 10.25x  =  51.25  -  32.50

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x  =  18.75/3.75

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You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you
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The bar should be 8 1/24 from the each edge of the door.

We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar. 
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1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4

Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
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Step 2. Subtract the numerators and place them above the common denominator
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Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.

Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1  ⇒ reciprocal 1/2

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24

Step 3. Simplify the fraction.
193 / 24 = 8 1/24
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