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charle [14.2K]
2 years ago
14

Identify the volume of a rectangular pyramid with length 16 m, width 12 m, and height 17 m.

Mathematics
2 answers:
DIA [1.3K]2 years ago
8 0

Answer:

3263 cubic meters

Step-by-step explanation:

16x17x12 = 3263

Digiron [165]2 years ago
7 0

Answer:

Correct Answer:  1088 m3

Step-by-step explanation:

To find the volume of the pyramid, first calculate the area of the base.

As the pyramid is rectangular, the base of the pyramid is a rectangle.

Use the formula for the area of a rectangle to calculate the area of the base.

B = lw

Substitute 16 for l and 12 for w.

B = 16 ⋅ 12

Simplify.

B = 192 m2

To find the volume of the pyramid, use the formula for the volume of a pyramid.

V = 1/3 Bh

Substitute 192 for B and 17 for h.

V = 1/3 ⋅ 192 ⋅ 17

Simplify.

V = 1088 m3

Therefore, the volume of the rectangular pyramid is 1088 m3.

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I need help with number 8 ASAP
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Answer:

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Step-by-step explanation:

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2 years ago
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2/3

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The slant height is used to find the volume of a square pyramid. true or false
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5 0
2 years ago
Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av
Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving <u>to</u> the airport (in mph)

⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)

Using:  distance = speed x time

\implies t=\dfrac{d}{v}

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

\implies t=\dfrac{18}{v}  \ \ \textsf{and} \ \  t=\dfrac{18}{v+15}

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1

Now all we have to do is solve the equation for v:

\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1

\implies \dfrac{18(v+15)+18v}{v(v+15)}=1

\implies 18(v+15)+18v=v(v+15)

\implies 18v+270+18v=v^2+15v

\implies v^2-21v-270=0

\implies (v-30)(v+9)=0

\implies v=30, v=-9

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

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1 year ago
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