Find the volume of the following shape

Answers

Answer 1

Answer:

24in^3

Step-by-step explanation:

this is a triangular prism and to find the volume of a right prism (a triangular prism in this case) we'll first find the area of cross-section which is basically the base area ( the triangle)

which is 1/2*4in*3in

this equals 6in^2

to find the volume we multiply it by the height of the prism which is 4 (the one on the top) so we multiply our previous answer with 4 to get 24in^3

Related Questions

Write an equation for the function graphed below

Answers

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

How to define the rational function?

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

More can be learned about rational functions at brainly.com/question/1851758

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21x² - 2x + 1/2 =0

find the following quadratic equation by factorization method
PLESE SOMEONE HELP

Answers

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Can someone help me please? ASAP

Answers

Answer:

triangle XYZ is similar to triangle RPQ

scale factor = 2/5

Step-by-step explanation:

Angles X and R are given as congruent.

Angles Z and Q are right angles, so they are congruent.

Then, angles Y and P must be congruent.

The similarity statement is

triangle XYZ is similar to triangle RPQ

To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.

10/25 = 2/5

The scale factor is 2/5.

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