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Mathematics, 22.06.2019 21:00 cheating53

Arectangular prism has a length of 2 1/4 feet, a width of 6 feet, and a height of 3 1/2 feet. what is the volume of the prism? enter your answer in the box. ft³

Answers

ansver
Answer from: swelch2010

For this case we have by definition, that the area of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}: is the area of the base

h: It's the height

Before findingA_ {b}we convert the mixed numbers to fractions:

length: 2 \frac {1} {4} = \frac {4 * 2 + 1} {4} = \frac {9} {4}

width: 6

Height:3 \frac {1} {2} = \frac {2 * 3 + 1} {2} = \frac {7} {2}

So, we have to:A_ {b} = \frac {9} {4} * 6 = \frac {54} {4} = 13.5

Finally, the volume is given by:

V = 13.5 * \frac {7} {2} =47.25\ ft ^ 3

47.25 \ ft ^ 3

ansver
Answer from: pr47723

ANSWER

Volume = 47\frac{1}{4}  {ft}^{3}

EXPLANATION

The formula for calculating the volume of a rectangular prism is

Volume = l \times b \times h

Where

l = 2 \frac{1}{4} ft

is the length of the rectangular box,

w = 6ft

is the width and

h = 3 \frac{1}{2} ft

is the height of the rectangular prism.

We plug in the given dimensions into the formula to get:

Volume = 2 \frac{1}{4} \times 6 \times 3 \frac{1}{2}

Convert the mixed numbers to improper fraction to get:

Volume = \frac{9}{4} \times 6 \times \frac{7}{2}

Multiply out to get

Volume = \frac{189}{4} {ft}^{3}

Or

Volume = 47\frac{1}{4}  {ft}^{3}

ansver
Answer from: jefarmjefarm9659
Question 1: To find volume the formula is Length× Width × height
So it would be 2 1/2× 6 × 3 1/2= 5 1/2
So the volume is 5 1/2

Question 2: You have to multiply 6 × 4 = 24
ansver
Answer from: blakeolson0800
The volume of a rectangular prism is the product of length, width, and height.
  V = LWH
  V = (2.25 ft)(6 ft)(3.50 ft)
  V = 47.25 ft³ = 47 1/4 ft³

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Arectangular prism has a length of 2 1/4 feet, a width of 6 feet, and a height of 3 1/2 feet. what i...

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