Answer:
f(x)=+71
Step-by-step explanation:
Help please and explain how
1 answer:
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Answer:
390cm³
Step-by-step explanation:
IF you look at the figure attached, you will see that your figure is made up of 3 rectangular prisms.
All you need to do is solve for the volume of each prism and add them up together.
The formula to use to get the volume of a rectangular prism is:
Where:
V = Volume
w = width
l = length
h = height
Let's get the first one and double it because you have rectangular prisms with the same dimensions:
Next we get the rectangular prism in the middle:
Notice that the height of the side rectangular prisms is 12 cm. To get the height of the middle figure, just subtract 5cm and 2 cm from the height because they are the excess of the middle.
12cm - (5cm + 2cm)
12 cm - 7cm = 5cm
Then we plug it into the formula
Now that we have the volumes of all figures, just add them up together:
150cm³ + 240cm³ = 390cm³
The line through (0, 0) and (1, 2) has equation .
Each cross section has a leg in the -plane whose length is the horizontal distance from the
-axis to the line
, which is
.
The cross sections are isosceles right triangles, so the legs that lie perpendicular to the -plane have the same length as the legs *in* the
-plane, hence these triangles haves bases and heights equal to
. Then the area of each cross section is
where the cross sections are generated over the interval .
The volume of the solid is then