All categories

3 years ago

What is the volume of this rectangular prism?

Mathematics

1 answer:

sergiy2304 [10]3 years ago

5 0

Answer:

$V =\frac{12}{5}\ cm^3$

Step-by-step explanation:

The Volume of Rectangular Prism

Given a rectangular prism of dimensions W, L, and H, its volume is the product of the three dimensions:

V = WLH

The figure shows the dimensions:

L=3 cm

$W=\frac{4}{3}\ cm$

$H=\frac{3}{5}\ cm$

Thus, the volume is:

$V =3*\frac{4}{3}*\frac{3}{5}\ cm^3$

$V =\frac{36}{15}\ cm^3$

Simplifying:

$\boxed{V =\frac{12}{5}\ cm^3}$

You might be interested in

M <1= A. 40 B. 80 C. 160

vitfil [10]

Answer:

A. 40

Step-by-step explanation:

In such a geometry the measure of the angle is the average of the measures of the intercepted arcs.

∠1 = ∠3 = (50° +30°)/2 = 40°

3 0

3 years ago

At the age of 20 weeks, Zoe weighed 16 lb 4 oz. Her birth weight was about 33 1/3% of her 20- week weight. To the nearest ounce,

Tanzania [10]

B=(100/300)(16*16+4)

b=(100/300)260

b= 86 2/3 oz

b=87 oz (to nearest oz)

4 0

3 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=8x%5E2%3D-36" id="TexFormula1" title="8x^2=-36" alt="8x^2=-36" align="absmi

chubhunter [2.5K]

Answer: 4(2x²+9) or $i\frac{3\sqrt{2} }{2}$

Step-by-step explanation:

To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.

8x²=-36 [add both sides by 36]

8x²+36=0

When it comes to factoring, we want to pull out numbers or variables that are common in each term.

8x²+36=0 [take out a 4 in each term]

4(2x²+9)=0

It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.

To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).

4(2x²+9)=0 [divide both sides by 4]

2x²+9=0 [subtract both sides by 9]

2x²=-9 [divide both sides by 2]

x²=-9/2 [square root both sides]

$x=\sqrt{-\frac{9}{2} }$ or $x=i\frac{3\sqrt{2} }{2}$

6 0

3 years ago

Read 2 more answers

X(x+3) + 34 = (x +5)(x+2)

My name is Ann [436]

X(x + 3) + 34 = (x + 5)(x + 2)

First, expand to remove parentheses.
$x^{2} + 3x + 34 = x^{2} + 2x + 5x + 10$
Second, add '2x + 5x' to get '7x'.
$x^{2} + 3x + 34 = x^{2} + 7x + 10$
Third, cancel out ' $x^{2}$ ' on both sides.
$3x + 34 = 7x + 10$
Fourth, subtract '3x' from both sides.
$34 = 7x + 10 - 3x$
Fifth, subtract '7x - 3x' to get '4x'.
$34 = 4x + 10$
Sixth, subtract '10' from both sides.
$34 - 10 = 4x$
Seventh, subtract '34 - 10' to get '24'.
$24 = 4x$
Eighth, divide both sides by '4', leaving the 'x' by itself.
$\frac{24}{4} =x$
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
$6 = x$
Tenth, switch your sides to get the answer.
$x = 6$

Answer: x = 6

4 0

3 years ago

1. What is the difference between a median of a triangle and an altitude?

Step2247 [10]

Answer:

The difference between a median and altitude of a triangle is given below :

Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side .But a median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.

Step-by-step explanation:

The difference between a median and altitude of a triangle is given below :

Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side .But a median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.

4 0

3 years ago