All categories

2 years ago

cuboid of length 24cm and volume 768cm^3 the width and hight are not equal.give a pair of possible values for their length.

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

3 0

Answer:

Possible values of dimensions are (24,16,2) or (24,8,4)

Step-by-step explanation:

We are given the volume of the Cuboid and length . We are required to find the possible values of width and height from this information.

Let us say that the width is x and height is y

Length = 24

Volume of a cuboid = length * width * height

Volume = 768

768=24*x*y

$xy=\frac{768}{24}\\xy=32\\$

xy=32

Now the possible factors of 32

32=1*32 ( Which shall not be taken into consideration as length is already given as 24 and width or height can not be more length)

32=2*16

32=4*8

Hence the possible values width are 8, 16 and that of height 4 and 2

Hence the possible values of dimensions are (24,16,2) or (24,8,4)

You might be interested in

A nut mixture of peanuts and pecans at a small fair is $1.00 per pound of peanuts and $2.85 per pound of pecans. Over the entire

CaHeK987 [17]

Answer:

B. (12.0, 85.0) There were 12.0 pounds of peanuts and 85.0 pounds of pecans sold at the fair

Step-by-step explanation:

Subtract the first equation from the second:

1.85n = 157.25

n = 157.25/1.85 = 85 . . . . . divide by the coefficient of n

Only one answer choice has 85 pounds of pecans—the one shown above.

6 0

2 years ago

Solve it every process

Naily [24]

g(x) = 2x + 3

f(x) = x^2 + 7

g(f(x)) = 2(x^2 + 7) + 3

g(f(x)) = 2x^2 + 14 + 3

g(f(x)) = 2x^2 + 17

when g(f(x)) = 25 then

2x^2 + 17 = 25

2x^2 - 8 = 0

2(x^2 - 4) = 0

2(x+2)(x-2) = 0

x + 2 = 0; x = -2

x - 2 = 0; x = 2

Answer

x = 2 or - 2

5 0

2 years ago

Rectangle ABCD is symmetric with respect to y-axis. Points A and B belong to the parabola y=x2. Points C and D are on the parab

Papessa [141]

Notice the picture below

so.. whatever the parabola y= -3x²+k is, will pass over (3,-2) and (-3,-2)

so.. .let us pick say hmmm 3,-2
thus $\bf y=-3x^2+k\qquad 
\begin{cases}
x=3\\
y=-2
\end{cases}\implies -2=-3(3)^2+k$

solve for "k"

6 0

2 years ago

01:57:09 In a city, the distance between the library and the police station is 3 miles less than twice the distance between the

tester [92]

Answer:

Distance between the police station and the fire station be 4 miles

Step-by-step explanation:

Let distance between the police station and the fire station be x miles.

The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.

Distance between the library and the police station $=2x-3$

Also, distance between the library and the police station is 5 miles.

$2x-3=5\\2x=3+5\\2x=8\\x=\frac{8}{2}\\ x=4\,\,miles$

8 0

2 years ago

The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit in

Marina86 [1]

Answer:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2})$

And when we apply the limit we got that:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2}) =1$

Step-by-step explanation:

Assuming this complete problem: "The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit . 1^3+2^3+3^3+...+n^3=[n(n+1)/2]^2"

We have the following formula in order to find the sum of cubes:

$\lim_{n\to\infty} \sum_{n=1}^{\infty} i^3$