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NeTakaya
1 year ago
12

A triangular prism is 19 centimeters long. It has a triangular face with a height of 14 centimeters. The volume of the prism is

2,354. 1 cubic centimeters. What is the base of its triangular face?​
Mathematics
1 answer:
andreyandreev [35.5K]1 year ago
7 0

The base of its triangular face of the triangular prism is found as 17.7 cm.

<h3>What is defined as the triangular prism?</h3>
  • A polyhedron with two triangular bases as well as three rectangular sides is known as a triangular prism.
  • It is a three-dimensional shape with three side faces but also two base faces that are connected by the edges.

The formula for the volume of triangular prism is;

Volume = base area x length

The base area of the triangular base.

The area of the triangle = 1/2 base×height

The given values are-

  • volume = 2,354. 1 cubic centimeters.
  • length = 19 cm
  • height = 14 cm.

Thus, volume = base area x length

volume =  1/2 base × height × length

base = 2v/(height × length)

Put the values;

base = 2×2,354.1/(14 × 19)

base = 4708.2/(14 × 19)

base = 17.7 cm

Thus, the base of the triangular  prism is found as 17.7 cm.

To know more about the triangular prism, here

brainly.com/question/16128664

#SPJ9

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3 years ago
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Answer:

Area = 15.36 ft

Step-by-step explanation:

First find the area of the dotted line triangle using the formula: base x height x 1/2, which would be 1.2ft x 12.8 x 1/2 = 7.68ft.

Next, add another triangle at the top, mirroring the shown triangle, of the parallelogram.

Then, find the area of the shape as though it were a rectangle. (base x height) - 2.4 x 12.8 = 30.72.

Next, multiply the area of the invisible triangle by 2, 7.68 x 2 = 15.36ft

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5 0
3 years ago
getting home from trick or treat celia and emma counted their candies. half of celias candies is equal to 2/3 of emmas candies.
blagie [28]

Candies with celias and emmas is 60 and 45 respectively.

<u>Solution:</u>

Given, Getting home from trick or treat celia and emma counted their candies.  Half of celias candies is equal to 2/3 of emmas candies.  

They had a total of 105 candies altogether.  

We have to find how many candies did each of them have.

Let the number of candies with celias be n, then number of candies with emma will be 105 – n.

Now according to given condition.

\begin{array}{l}{\frac{1}{2} \times \text { celias candies count }=\frac{2}{3} \times \text { emmas candies count }} \\\\ {\rightarrow \frac{1}{2} \times n=\frac{2}{3} \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 n=4(105-n)} \\\\ {\quad \rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n+4 n=420} \\\\ {\rightarrow 7 n=7 \times 60} \\\\ {\rightarrow n=60}\end{array}

Hence, candies with celias and emmas is 60 and 45 respectively.

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3 years ago
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inessss [21]

Answer:

22

Step-by-step explanation:

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3 years ago
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WINSTONCH [101]

Answer:

22 11/12 feet

Step-by-step explanation:

44 3/4−21(5/6)= 179/4−21(5/6)=179/4−131/6

==

275/12=

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