All categories

3 years ago

Find the volume for this shape

Mathematics

1 answer:

aliya0001 [1]3 years ago

5 0

Answer:

The area of this triangular prism is equal to $144yd^{3}$

Step-by-step explanation:

As it says in the question, the formula for the volume of this shape (triangular prism) can be found by the following formula...

$V = Bh$ (where B is the area of the triangular base, and h is the length between the two triangular bases of the prism)

Now we need to find out to what B equals to. In order to do this we need to know that area of a triangle can be found by using the following formula...

$B = \frac{bh_{1}}{2}$ (where "b" is the base of the triangle, and $h_{1}$ is the height of the triangle. Now we just substitute the values and get...

$B = \frac{bh_{1}}{2} = \frac{(6)(4)}{2} = \frac{24}{2} = 12yd^{2}$

Now that we know what B equals, we just substitute the values in the first formula and get...

$V = Bh = (12)(12) = 144yd^{3}$

You might be interested in

Mrs. Jeffers has 12 girls out of 16 on the student council the Earth Day committed has four girls out of eight students are the

Yuki888 [10]

The ratios are not equivalent

Solution:

Mrs. Jeffers has 12 girls out of 16 on the student council

Ratio is given as:

Girls : students = 12 : 16

Therefore,

$\frac{12 \text{ girls }}{16 \text{ students }}$

The Earth Day committed has four girls out of eight students

Ratio is given as:

Girls : students = 4 : 8

Therefore,

$\frac{4 \text{ girls }}{8 \text{ students }}$

The ratios are not equivalent. Because,

$\frac{12 \text{ girls }}{16 \text{ students }} \neq \frac{4 \text{ girls }}{8 \text{ students }}$

Therefore, the ratios are not equivalent

Equivalent ratios or equivalent fractions are two ratios that express the same relationship between numbers

If two ratios have the same value, then they are equivalent

But here the ratios are not equivalent, since they have different value

6 0

4 years ago

Circle O has a circumference of 36pi cm

iogann1982 [59]

Circumference = 2 pi r , so

36 pi = 2 pi r

r = 36 pi / 2 pi

= 18 cm answer

8 0

4 years ago

Find the complete factorization of the expression.

taurus [48]

It well be B.) they all have a factor of 2

7 0

4 years ago

Read 2 more answers

Time 6:20 +35 mins time =

IRISSAK [1]

20 mins + 35 mins = 55 mins
So that will be 6:55

6 0

3 years ago

How do i solve quadratics and quadratic formula

Murljashka [212]

Step-by-step explanation:

Multiply the first and last coefficient

Find a pair that has the product of ac (above) and the sum of b

Replace the b-term with the pair.

Divide the four terms into two-terms on the left side and two terms on the right side and factor out the common terms from each side.

This is reverse of the distributive property so the terms factored out (on the outside of the common term) combine to create a factor and the common term is the other factor.

Set each factor equal to zero and solve for the variable.

***************************************************************************************

1a. Answer: a = 1/2 a = -1

2a² + 3a + 1 = 0 → ac=2, b = 3 → use 1, 2 (product is 2 & sum is 3)

2a² + 2a + 1a + 1 = 0

2a² + 2a +1a + 1 = 0

2a(a + 1) +1(a + 1) = 0

(2a + 1)(a + 1) = 0

2a + 1 = 0 and a + 1 = 0

a = 1/2 and a = -1

**************************************************************************************

1b. Answer: y = -5/2 y = -5

2y² + 5y - 25 = 0 → ac=-50, b = 5 → use 10, -5 (product is -50 & sum is -5)

2y² + 10y - 5y - 25 = 0

2y(y + 5) -5(y + 5) = 0

(2y - 5)(y + 5) = 0

2y + 5 = 0 and y + 5 = 0

y = -5/2 and y = -5

**************************************************************************************

1c. Answer: y = 5 y = 1/2

2y² - 11y + 5 = 0 → ac=10, b = -11 → use -1, -10 (product is 10 & sum is -11)

2y² - 1y - 10y + 5 = 0

2y² - 1y -10y + 5 = 0

y(2y - 1) -5(2y - 1) = 0

(y - 5)(2y - 1) = 0

y - 5 = 0 and 2y - 1 = 0

y = 5 and y = 1/2

4 0

4 years ago