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Softa [21]
3 years ago
5

What is the volume of a rectangular prism with the dimensions: base 2 3 /8 cm, height 1 1/3 cm, and length 3 3 /4 cm?

Mathematics
2 answers:
Ugo [173]3 years ago
5 0

Answer: 11.84 cm³


Step-by-step explanation:

1. Let's rewrite the given dimensions (expressed as mixed numbers) as decimals. Divide the numerator by the denominator of the fractional part and add the result to whole number part. Then:

2^\frac{3}{8}cm=(2+0.375)cm=2.375cm\\1^\frac{1}{3}=(1+0.333)cm=1.333cm\\3^\frac{3}{4}=(3+0.75)cm=3.75cm

2. Then, to calculate the volume you must multiply its dimensions. Therefore, you obtain the following result:

V=2.375cm*3.75cm*1.33cm\\V=11.84cm^{3}


padilas [110]3 years ago
5 0

Answer:

11   7/8

Step-by-step explanation:

decimals. Divide the numerator by the denominator of the fractional part and add the result to whole number part. Then:

2. Then, to calculate the volume you must multiply its dimensions. Therefore, you obtain the following result:

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The sum of 2 numbers is 45. The larger number is 17 more than the smaller number. What are the numbers
gayaneshka [121]

Answer:

the numbers are 31 and 14

Step-by-step explanation:

since the larger number is 17 more than the smaller number,

larger number= x

smaller number= x-17

x-17+x=45

2x=45+17

2x=62

x=31

x-17=31-17

3 0
3 years ago
Solve for y: x/y - 8 = w
inysia [295]
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4 0
3 years ago
The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other l
Verdich [7]

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

4 0
3 years ago
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