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vaieri [72.5K]
4 years ago
8

Determine the volume of the three-dimensional figure.

Mathematics
2 answers:
Finger [1]4 years ago
8 0

Answer:

288 cubic inch

Step-by-step explanation:

Top and bottom bases are trapezoid of same dimensions and height is 4 in.

Therefore,

volume   \\ = area \: of \: trapezoid \times height \\  =   \{\frac{1}{2} (16 + 8) \times 6 \}  \times 4 \\  = 24 \times 6 \times 2 \\  = 48 \times 6 \\  = 288 \:  {in}^{3}  \\

dalvyx [7]4 years ago
5 0

Answer:

\huge\boxed{V=288\ in^3}

Step-by-step explanation:

The formula of a volume of a prism:

V=BH

where

<em>B</em><em> - area of a base</em>

<em>H</em><em> - height of a prism</em>

<em />

In the base we have the trapezoid.

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

Where

b_1,\ b_2 - <em>bases</em>

h - <em>height of a trapezoid</em>

<em />

From the picture we have:

b_1=16\ in,\ b_2=8\ in,\ h=6\ in

Substitute:

B=\dfrac{16+8}{2}\cdot6=\dfrac{24}{2}\cdot6=12\cdot6=72\ in^2

Substitute it and <em>H = 4 in</em> to the formula of a volume of a prism:

V=(72)(4)=288\ in^3

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PLS HELP! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!
Contact [7]

Exact Surface Area = 378pi

Approximate Surface Area = 1186.92

The approximate surface area uses pi = 3.14

The units are cm^2 or "square cm".

=========================================================

Work Shown:

SA = surface area of cylinder

SA = 2*pi*r^2 + 2*pi*r*h

SA = 2*pi*7^2 + 2*pi*7*20

SA = 2*pi*49 + 2*pi*140

SA = 2*49*pi + 2*140*pi

SA = 98pi + 280pi

SA = 378pi ..... exact surface area

SA = 378*3.14

SA = 1186.92 ..... approximate surface area

----------

Side note: The diameter 14 cuts in half to get the radius r = 7

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Step-by-step explanation: If it is talking about the reciprocal then yes. Reciprocal is the opposite of your number.

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Answer/Step-by-step explanation:

Let's solve your equation step-by-step.

4−(2y+5)=3(1−4y)

Step 1: Simplify both sides of the equation.

4−(2y+5)=3(1−4y)

4+−1(2y+5)=3(1−4y)(Distribute the Negative Sign)

4+−1(2y)+(−1)(5)=3(1−4y)

4+−2y+−5=3(1−4y)

4+−2y+−5=(3)(1)+(3)(−4y)(Distribute)

4+−2y+−5=3+−12y

(−2y)+(4+−5)=−12y+3(Combine Like Terms)

−2y+−1=−12y+3

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Step 2: Add 12y to both sides.

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Step 3: Add 1 to both sides.

10y−1+1=3+1

10y=4

Step 4: Divide both sides by 10.

10y

10

=

4

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y=

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5

Answer:

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