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patriot [66]
3 years ago
14

A square pyramid. The square base has side lengths of 6 inches. The 4 triangular sides have a base of 6 inches and height of 9 i

nches.
Complete the sentences.


The area of the pyramid’s base is in.2.

The pyramid has lateral faces.

The surface area of each lateral face is in.2.

The total surface area is 144 in.2.

Mathematics
1 answer:
Marrrta [24]3 years ago
3 0

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.  

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"<u>Lateral</u>" means side, so the lateral faces are <u>triangles</u>.

The <u>base</u> is the bottom, which is a <u>square</u>.

To calculate the <u>area of the base</u>, use the formula for area of a square.

A_{base} = s^{2}

A_{base} = (6 in)^{2}

A_{base} = 36 in^{2}

To calculate the <u>area of a lateral face</u>, find the area of a triangle.

A_{lateral} = \frac{bh}{2}

A_{lateral} = \frac{(6 in)(9 in)}{2}

A_{lateral} = \frac{54 in^{2}}{2}

A_{lateral} = 27 in^{2}

In a pyramid, the number of lateral faces is the same as the number of sides in the base. <u>The square base as 4 sides, so there are 4 lateral faces</u>.

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Answer:

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A. 58.99 × 12 = 707.88

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Hope this helps!

6 0
3 years ago
All the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additional boxe
AveGali [126]

Answer:

(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.

Step-by-step explanation:

Given that all the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over.

This implies that boxes are in multiples of 12

i.e. 12, or 24, or 36 or....

Let us say this as 12m for m an integer

Now additional boxes arrived =60

Total number of boxes now = 12m+60

This when arranged in stacks of 14,nothing left out

Or this is multiple of 14

12m+60 = 14n for some positive integer n.

By trial and error we find that if 60 is to be divided by 14, 24 should be added and 24 is a multiple of 12.

So we say originally 24 boxes were there now 84 boxes there.

Hence both options are right.

(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.

3 0
3 years ago
Using substitution, identify it the given point is a solution of the given linear inequality.
yuradex [85]

Answer:

no

Step-by-step explanation:

substitute the values from (x,y) into the equation.

3(-1)+2(2)>6

-3+4>6

1>6

false

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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andreyandreev [35.5K]

Answer:

113.143 cm²

Step-by-step explanation:

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Now

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=(3.16)(6)²

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=113.143 cm²

7 0
3 years ago
Read 2 more answers
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