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AfilCa [17]
3 years ago
14

What is the volume of the playhouse shown below?

Mathematics
1 answer:
Nana76 [90]3 years ago
3 0

Answer:

V = 17.25m cubed

Step-by-step explanation:

Break up the shape into a rectangular prism and a triangular prism. First, find the volume of the rectangular prism. This volume is calculated by the formula b*w*h which would be (2.5)(3)(1.4) which gives the answer 10.5m cubed. Then, find the volume of the triangular prism. The triangular prism can be divided into two triangular prisms so that multiplying b*h of one of them will give the area for the face of both of them (since the formula for the area of the face of a triangle is 1/2b*h) which is necessary for calculation since the formula  formula for finding the volume of a triangular prism is A*h. Finding the area of the entire face by multiplying 1.25 and 1.8 will give the answer 2.25m squared.   Even though the height for the calculation of the area is 1.8, it's not the height for the calculation of the volume because the height must be found with the triangular face being on the bottom of the prism. Therefore, in order to find the volume, you would do (2.25)(3) in order to get 6.75m cubed. All that is left is to add the 10.5m and 6.75m to get the final answer of 17.25m cubed.

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The temperature, T , of a given mass of gas varies inversely with its volume, V . The temperature of a certain gas with volume o
alekssr [168]
We know that

if t<span>he temperature T of a given mass of gas varies inversely with its volume V 
</span>then
T=k/V

Step 1
Find the value of k
for T=30º C and V=105 cm³
we have 
T=k/V--------> k=T*V--------> k=30*105=3150 °C*cm³

therefore
for V=84 cm³
T=3150/84=37.5 °C

the answer is 37.5 °C
3 0
3 years ago
Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth
bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (10,-1) and B (-2,5)

The distance is

|AB|  =  \sqrt{ ({10 + 2})^{2} +  ({ - 1 - 5})^{2}  }  \\  =  \sqrt{ {12}^{2}  +  ({ - 6})^{2} }  \\  =  \sqrt{144 + 36}  \:  \:  \:  \:  \:  \:  \:   \\  =  \sqrt{180}  \\  = 6 \sqrt{5}  \:  \:  \\  =13.416407

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
Find the values of x and y - i will give brainliest if right
kherson [118]

Answer:

itd x=68 and y=5 I apolgize if its wrong

4 0
3 years ago
EMERGENCY! <br><br> How many cubes with side lengths of 1/2 cm does it take to fill the prism?
Sati [7]

Answer:

  24 cubes

Step-by-step explanation:

You can figure this a couple of ways.

I usually find it easiest to figure in terms of the number of cubes each dimension represents. The vertical dimension (3/2 cm) is the length of 3 cubes; the front-back dimension (2 cm) is the length of 4 cubes, and the width (1 cm) is the length of 2 cubes.

The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.

__

Another way to figure this is to compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.

  Prism volume = l×w×h = (2 cm)(1 cm)(3/2 cm) = 3 cm³

  Cube volume = (1/2 cm)³ = 1/8 cm³

Then the number of cubes that will fit in the prism is ...

  (3 cm³)/(1/8 cm³) = 3×8 = 24 . . . . cubes

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4 years ago
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PSYCHO15rus [73]
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6 0
3 years ago
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