SOMEONE PLEASE HELP ITS URGENT!!The prism has a volume of 120 cm3.

What would the volume of the prism be if each dimension were halved?

Answers

Answer 1

Answer:
The volume of the prism is (Length x Width x Height).
To make it easier to work with, let me write (L x W x H).

If you cut each dimension in half, then the volume is

   (1/2 x L) x (1/2 x W) x(1/2 x H) .

It's pretty easy to rearrange that, and see what's going on:

   1/2 x L x 1/2 x W x1/2 x H =

   (1/2 x 1/2 x 1/2) x (L x W x H) =

      ( 1/8 ) x (original volume) =

   ( 1 / 2³ ) x (original volume)

Here's the general rule:

If you multiply all the linear dimensions of a drawing OR an object
by some factor 'K' , then

-- all of the linear features, like perimeter, diagonal, circumference,
diameter etc. are all multiplied by 'K' .

-- the 2-dimensional things on it, like area of the drawing, or surfaces
of a prism, sphere or any blob, are all multiplied by K² .

-- the 3-dimensional features, like volume of any prism, pyramid,
sphere, blob, ellipsoid, cylinder etc. are all multiplied by K³ .

Answer 2

Answer: if the volume of the prism were halved it would be 140

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There are 30 students in Mrs.Woodward’s class, and 1/2 of the class has their own cellphone.Of this group of students, 1/3 of them are allowed to use social media. How many of the students have a cellphone and can use social media?

Answers

Answer:7

Step-by-step explanation:

7,because 30-1/2=7

Half of 30 students would be 15 (30 / 2 = 15)

One third of 15 is 5 (15 / 3 = 5)

15 students have cellphones, 5 of them are allowed to use social media.

How many times greater is the value of the 5 in 500 than the value of the 5 in 50

Answers

It is 10 times bigger. It is easy because you can do 50 x 10 which is 500 and you know it is 10 times bigger.

Is 80 oz greater or less than 5 pounds

Answers

80 oz and 5 lbs are the same

80 oz is greater than 5 pounds

The product the lies between__and__. 3×3/4?

Answers

Saying 3/4 * 3 is the same thing as saying 3/4 of 3. Imagine you have 3 pies, each cut into 4 slices. That would be 3 * 4 = 12 slices of pie, right?
So when there's 12 slices, that would be 4/4 of the pies, since all the pieces are there.
To find out how many pies we would have with 3/4 of the pie left, we just need to multiply the original equation.

3 * 3/4 = 2 1/4

The product of those two numbers lies between 2 and 3.
Hope that helped =)

A rectangular paperboard measuring 21 in long and 16 in wide has a semi circle cut out of it , find the area of the paper board that remains

Answers

Answer:

Hope it helps you............

Final answer:

To find the remaining area of the paperboard, calculate the area of the rectangle, subtract the area of the semicircle. The area of the rectangle is 336 square inches, and the area of the semicircle is 32π square inches. The remaining area is approximately 236.05 square inches.

Explanation:

To answer this question, we first need to calculate the area of the entire paperboard, and then calculate the area of the semi-circle that was cut out. We then subtract the area of the semi-circle from the area of the paperboard to get the remaining area.

The area of a rectangle is calculated by multiplying its length by its width. For the paperboard, we find the area by multiplying 21 inches (length) by 16 inches (width), which gives us 336 square inches.

Next, we have to calculate the area of the semi-circle that was cut out. Assuming the cut was made along the width of the paperboard, the diameter of the semi-circle would be 16 inches. The radius, therefore, is 8 inches. The area of a circle is given by the formula πr², where r is the radius. For a semi-circle, we simply take half of this. This gives us an area of half of π(8)² = 32π square inches.

So, to find the remaining area of the paperboard, we subtract the area of the semi-circle from the area of the rectangle: 336 square inches - 32π square inches = approximately 236.05 square inches.

Learn more about Area Calculation here:

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Tom knows that in his school 10out of every 85 students are lefthanded. There are 391 students in Toms school. How many studentd in toms school are left handed