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3 years ago

Find the volume of the triangular prism with height=9 cm, base=6cm, and altitude of triangles=8cm

Mathematics

2 answers:

telo118 [61]3 years ago

8 0

The answer is C

Multiply all of the measurements and divide by 2. Picture cutting the triangle in half from the top point, then use the measurements you have and multiply live it’s a rectangular prism.

saveliy_v [14]3 years ago

8 0

Answer:

The volume of the prism is $216\,cm^3$

Please notice that the number agrees with the third answer in the list of options, but the list contains errors in the units for the four options listed. Volumes shouldn't have units of square centimeters! there is a type in all the units. the exponent of the cm should be "3" not 2.

Step-by-step explanation:

Recall that the volume of a prism is given by the product of the area of its base (B) times its height (h) : $V=B\,h$

In our case, the base of the prism is a triangle of base 6 cm and height 8 cm. Then we can estimate the prism's base using the formula for the area of a triangle = base x height/2

triangle's area = $6\,cm*8\,cm/2=24\,cm^2$

Now we use this area in the volume formula:

$V=B\,h\\V=24\,cm^2\,*\,9\,cm\\V=216 \,cm^3$

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Which best decribes the meaning of the term theorem

STALIN [3.7K]

Answer:

A theorem is a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.

Step-by-step explanation:

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3 years ago

Marcos is in charge of counting cans for the food drive. He organizes the cans in 6-by-8 arrays, and he has 10 of these arrays.

V125BC [204]

Answer:

The final answer is NO, i.e. He does not have at least 500 cans.

Step-by-step explanation:

He organizes the cans in 6-by-8 arrays.

The number of elements in the array can be found by finding the multiplication of its Rows numbers with its Columns numbers.

Given the array is of order 6-by-8. So the elements in the array = 6x8 = 48 elements.

And he has 10 of these arrays. So total cans = 48 x 10 = 480 cans.

Hence, the final answer is NO, i.e. He does not have at least 500 cans.

6 0

3 years ago

I'm doing theoretical probobility. Can you help me with this problem. It says to write it is a fraction, decimal, and a percent.

Alchen [17]

So probability is (disred outcomes) divided by (total possible outomces

so
hearts and clubs are 2 out of 4 total suits and since there are the same number of cards per suit, it simplifies
2=desrired oucomes
4=total possible
2/4=1/2=0.5=50%

answer is 1/2 or 0.5 or 50%

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3 years ago

Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side? A) less than 25 B) less th

BartSMP [9]

<span>Two sides of a triangle have lengths a = 10 and b = 15

c < a+b and c > |a - b|

</span><span>A) less than 25 </span>

6 0

4 years ago

a rectangle field has an anrea of 40cm^2. if one side of the field is 3m longer than the other side, find the new area of the fi

oksian1 [2.3K]

The area of the field where the length of each side is increased by 10% is 48.4 $cm^{2}$ .

Step-by-step explanation:

The given is,

A rectangle field has an area of 40 $cm^{2}$

If one side of the field is 3 cm longer than the other side

The length of new area in each side is increased by 10%

Step:1

Let,

$b$ - One side of rectangle

$l$ - Other side of rectangle

From given.

$l$ - $b$ +3

Formula for area of rectangle,

$Area, a = lb$

40 = ( b+3) × b

40 = $b^{2}$ + 3b

Solving the above the equation,

b = 5 cm

l = 8 cm

Step:2

If the area of rectangle increased by 10%,

l = 8 + ( 8 × $\frac{10}{100}$ )

= 8.8

b = 5 + ( 5 × $\frac{10}{100}$ )

= 5.5

Area of rectangle is,

a = ( 8.8 × 5.5 )

= 48.4 square centimeters

Result:

The area of the field where the length of each side is increased by 10% is 48.4 $cm^{2}$ , if a rectangle field has an area of 40 square centimeters and one side of the field is 3 cm longer than the other side.

5 0

3 years ago