All categories

3 years ago

Doubling both the area of the bases and the height of a prism doubles its volume. T/F

Mathematics

2 answers:

xenn [34]3 years ago

7 0

Answer:

True.

Step-by-step explanation:

Vadim26 [7]3 years ago

7 0

Answer: False

==========================================================

Explanation:

Let's consider a prism that has dimensions of

L = 3 ft
W = 4 ft
H = 5 ft

and we'll say that the base is a rectangle with length L and width W. The area of the base is L*W = 3*4 = 12 sq ft. The volume of this prism is L*W*H = 3*4*5 = 60 ft^3

If we double the area of the base, then we go from 12 ft^2 to 24 ft^2. If we double the height, then we go from 5 ft to 10 ft.

The new volume of this larger prism is (area of base)*(height) = (24)*(10) = 240 ft^3

The jump from 60 ft^3 to 240 ft^3 is not "times 2". Instead, the multiplier is 240/60 = 4. This example shows that the volume has been quadrupled.

You might be interested in

What is the definition of a chronological structure?

Y_Kistochka [10]

Answer:

The arrangements of things following one after another in time

3 0

2 years ago

Find the angle of elevation, , correct to decimal places, from the roof of the smaller building to the roof of the larger buildi

Ratling [72]

The angle of elevation for the given figure will be 68.198°.

<h3>What is a trigonometric function?</h3>

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

Given the figure is making a right-angle triangle with a base of 10m and a height of 45 - 20 = 25 m

By trigonometric function tan

Tanθ = 25/10

θ = 68.198°

Hence "The angle of elevation for the given figure will be 68.198°".

For more information about the trigonometric function,

brainly.com/question/14746686

#SPJ1

6 0

2 years ago

¿cuales tienen solo un eje de simetría?<br><br><br>English:Which have only one axis of symmetry?

Neporo4naja [7]

Answer:

if your looking for a shape it would be a kite if your looking for a line it would be a parabolas.

si buscas una forma sería una cometa, si buscas una línea sería una parábola.

Step-by-step explanation:

7 0

3 years ago

You deposit $5000 in an account earning 7.5% simple interest. How long will it take for the balance of the account to be $6500?

salantis [7]

Hi there! So, the simple interest is 7.5% annually. Let’s multiply by initial amount by the interest rate. 5,000 * 7.5% is 375. You earn $375 in interest annually. The difference of 6,500 and 5,000 is 1,500. Let’s divide by 375 to see how many times it goes into 1,500. 1,500/375 is 4. It will take 4 years for the balance of the account to be $6,500.

4 0

4 years ago

Determine the domain of the function in the correct set notation. f(x)=1 /2×+6

Aliun [14]

Answer:

First one.

Step-by-step explanation:

8 0

3 years ago