All categories

3 years ago

What is the volume of the box pictured below?

Mathematics

1 answer:

noname [10]3 years ago

4 0

Answer:

$\frac{3}{4}$ m³

Step-by-step explanation:

The volume (V) of the cuboid is calculated as

V = lbh ( l is length, b is breadth and h is height ) , then

V = 1 $\frac{1}{8}$ × $\frac{4}{5}$ × $\frac{5}{6}$ ( change mixed number to improper fraction )

= $\frac{9}{8}$ × $\frac{4}{5}$ × $\frac{5}{6}$ ( cancel the 5's, 4 and 8 by 4 and 9 and 6 by 3 )

= $\frac{3}{2}$ × $\frac{1}{1}$ × $\frac{1}{2}$

= $\frac{3}{4}$ m³

You might be interested in

Graph y = 2x + 3 A? B? C? OR D

alexandr402 [8]

Answer:

the answer is B

Step-by-step explanation:

im not sure what else to say but my answer had to be longer

7 0

3 years ago

Can someone answer this asap :))

poizon [28]

For graphing make sure to shade the right portion and to make the line dotted like (— — — —)
the red is y>8x-4, the blue is y>-1/2x+1/2

2x-.25y < 1 is equal to 2x-1/4y < 1
multiply each side by 4:
8x-y < 4
add y to each side:
8x < 4+y
subtract 4 from each side:
8x-4 < y
rewrite:
y > 8x-4

4x+8y > 4
divide both sides by 8:
1/2x+y > 1/2
subtract -1/2x from each side:
y > -1/2x + 1/2

3 0

3 years ago

Please I NEED HELP ASAP <br>Graph the system of equations 2x+y=5; 14+7y=35

Luden [163]

You have to put it in Y=MX+B form, so that mean you subtract the 2x in the first equation and move it to the other side of the equal sign so it will look like this Y=2X+5 and for the second equation you do the same thing and thats your answer

5 0

4 years ago

Read 2 more answers

A soccer ball is kicked and modeled by the function h(x)=-0.0085x²+0.25x+6, where h is the height of the ball in feet and x is t

torisob [31]

Answer:

8 ft

Step-by-step explanation:

h(x)=-0.0085x²+0.25x+6,

The maximum height will be at the vertex

The x coordinate is at

h = -b/2a where b is the x term coefficient and a is the x^2 term coefficient

h = -(.25)/(2(-.0085)

=14.70588235

We want to find the height so we need to substitute this into the equation

h(14.70588235)=-0.0085(14.70588235)^2+0.25(14.70588235)+6,

=-1.838235294+3.676470588+6

=7.838235293 ft

To the nearest foot

= 8 ft

5 0

3 years ago

Read 2 more answers

You have two circles, one with radius r and the other with radius R. You wish for the difference in the areas of these two circl

gtnhenbr [62]

Answer:

maximum difference of radii = $(r-R)=\frac{1}{2\pi ^{2}}$

Step-by-step explanation:

We know that area of circle is given by

$A=\pi \times (radius)^{2}$

For circle with radius 'r' we have

$A_{1}=\pi \times (r)^{2}$

For circle with radius 'R' we have

$A_{2}=\pi \times (R)^{2}$

Now according to given condition we have

$A_{1}-A_{2}\leq \frac{5}{\pi }$

$\Rightarrow \pi r^{2}-\pi R^{2}\leq \frac{5}{\pi }\\\\\Rightarrow (r^{2}-R^{2})\leq \frac{5}{\pi ^{2}}\\\\(r+R)(r-R)\leq \frac{5}{\pi ^{2}}\\\\\because (a^{2}-b^{2})=(a+b)(a-b)\\\\(r+R)=10(Given)\\\\\Rightarrow(r-R)\leq \frac{5}{10\pi ^{2}}\\\\\therefore (r-R)\leq\frac{1}{2\pi ^{2}}$

Thus maximum difference of radii = $(r-R)=\frac{1}{2\pi ^{2}}$

6 0

4 years ago