ive missed school for a couple of days and im really lost with this homework question..please help!!?

Question

Okay, so a box dimensions that are 50 by 50 by 50.
I have to calculate a volume of a box that is 25% larger than this box and the new dimensions??
I think the volume is 156 250 cm squared for the new one but i dont know about the dimensions???

how do you know you're right though?

Answer 1

V1 = 50 x 50 x 50 cm³
V1 = 125,000 cm³
V2 = 1.25 x 125,000 cm³
V2 = 156,250 cm³
L³ = 156,250
L = (156,250)^(1/3)
L = 53.9 cm ( to 1 dec. place)

Answer 2

Piece of cake, once you stop to think about it. Cube 50 to get the volume of the box in cubic whatevers. Multiply the result by 1.25 to get the volume of the larger box. Now, take the cube root of that to get the linear dimensions of the new box.

There is an easier way (perhaps), as you didn't say that the new box had to be a cube. If this is not a restriction, multiply 50 by 1.25 to get one dimension and use 50 as the other two.

Answer 3

The volume of the original box is 50 by 50 by 50 = 125000 cm cubed.. So the new volume will be 125000 * 1.25 = 156250 cm cubed. If the box is a cube, then each dimension will be equal. Take 156250 and raise it to the exponent 1/3 on your calculator, and you will find that each dimension will be approx. 53.86086725 cm.

Answer 4

If you mean that the box is 25% larger in volume, then the new box would be 1.25 X 50^3 = 156,250 cm cubed, so your answer is correct, but don't forget that it is cm cubed, not squared. The dimensions of the new box (it's still a cube) =

156,250^1/3 i.e. the cube root of 156,250, which is 53.86 cm by 53.86 by 53.86

Answer 5

156 250 cm cubed (not squared). For the new dimension you need to take the 3rd root out of the new volume. Result: 53.86 cm.

Answer 6

the volume of the original box is 50x50x50=125000 units

a volume 25% greater than this is:

1.25x125,000=156,250

to maintain a cubical box, you ask the question what must be the sides of the cube to produce a volume of 156,250? In other words, if x is the length of a cube, what is the value of x*x*x that gives me 156,250? Or in other words, solve for x if x^3=156,250.

Take the cube root of 156,250 and find that x=53.8609

check this by multiplying 53.8609*53.8609*53.8609

Answer 7

156,250 units cubed is correct for the volume.

But you donot say what shape the box is. Must it be a cube like the original box? Or can it be a rectangular prism with different length, width , and height.

If it must be a cube, then each side is cuberoot 156250.

If not the dimensions could be anything such as 25X25X250

Answer 8

There are a number of ways to do this, but I will illustrate how using only simple mathematics:

original volume = 50*50*50 = 125000 cubic units
25% larger = 125000 * 1.25 = 156250 cubic units

To find the side length of a cube that would give this volume, you need:

s*s*s = 156250 cubic units
s^3 = 156250
s = cube root of 156250
s = 53.86 units

Another way to do this one would be to take the cube root of 1.25 and multiply it by the original side length:

cube root of 1.25 = 1.0772173450159418608796467832597

1.077 * 50 = 53.86units

Happy Holidays!

Hope this helps!

Answer 9

since all the sides are equal the box is a cube

V = s^2
V = 50^3
V = 125,000cm^3

we want the volume to be 25% larger
new volume = 125,000 + .25(125,000)
new volume = 156,250 cm^3

use the same formula
V = s^2
156,250 = s^3
s =~ 53.86cm

Answer 10

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