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Aloiza [94]
3 years ago
8

The house shown is a composite of more than one shape. Which of these methods would you use to find the volume of the house?

Mathematics
2 answers:
Kamila [148]3 years ago
7 0

Answer: Add the volume of a rectangular prism to the volume of a triangular prism.

Step-by-step explanation:

A. Find the volume of a pyramid.

Neither of the shapes shown are a pyramid and there should be two shapes added together.

B. Find the volume of a rectangular prism.

There should be two shapes being added together, however this is one of the shapes shown.

C. Add the volume of a rectangular prism to the volume of a triangular prism.

This is the answer because the bottom shape of the house is a rectangular prism since there are six faces all with four sides. The top shape is a triangular prism because two of the faces are triangles and the other three are rectangles. This shape would not be a pyramid because in order for it to be categorized that way it would need at least four triangular faces that connect at a point.

D. Add the volume of a rectangular prism and a pyramid.

The triangular prism is shown, however the shape used to represent the roof of the house would be classified as a rectangular prism.

zimovet [89]3 years ago
4 0

Answer:

find the area on one shape and the area of the other and add the shapes areas to get your answer

Step-by-step explanation:

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Step-by-step explanation:

Its a function because each input has an output.

8 0
2 years ago
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Solve for the ? angle
daser333 [38]

Answer:

50

Step-by-step explanation:

since all angles add up to 180

and since this is a right triangle the square in the corner is 90 degrees

so 40+90+x=180

130+x=180

subtract 130 from both sides

130-130+x=180-130

x=50

Hope that helps :)

7 0
3 years ago
Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.
fgiga [73]

Step-by-step explanation:

\triangle HFM \sim \triangle PST... (Given) \\\\\therefore   \frac{HF}{PS}  =  \frac{FM}{ST}  =  \frac{HM}{PT}...(csst) \\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{45}{9}\\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{5}{1} \\  \\ \therefore  \frac{30}{PS}  =  \frac{5}{1} \\  \\ \therefore PS =  \frac{30}{5} \\  \\\boxed{ \therefore PS =  6 }\\  \\  \because \: \frac{35}{ST}  =  \frac{5}{1} \\  \\  \therefore \: ST = \frac{35}{5}  \\  \\    \boxed{\therefore \: ST = 7} \\  \\ perimeter \: of \: \triangle PST  \\ = 9 + 7 + 6 \\  = 22 \: units

4 0
2 years ago
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
neonofarm [45]

Answer:

270 cm^2

Step-by-step explanation:

This is quite easy.

There is formula for it, the formula is bh/2

b= is the base or side that the triangle's altitude or height is perpendicular to.

h= is the height of the triangle or the altitude of the triangle.

I can always like to thing that a triangle is like half of a rectangle because the area for a rectangle is bh, but in a triangle it is half the bh.

b= 30

h=18

Now substitute the values in the formula

30(18)/2

30 times 18 = 540

divide the product by 2

540/2 = 270

6 0
2 years ago
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Calculate the volume of the pyramid above. <br> V = ? m3
Vadim26 [7]
V = lwh/3
= 5x3x1/3
= 15/3
= 5
Therefore the volume is 5 meter cubed.
3 0
2 years ago
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