Answer:
Step-by-step explanation:
A rectangular prism (or orthohedron) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.
The orthohedron is a straight prism and also a particular case of irregular quadrangular prism.
In a rectangular prism you can differentiate the following elements:
Bases: are two parallel and equal rectangles.
Faces: the four rectangles of the lateral faces and the two bases. Therefore, it has six faces.
Height : distance between the two bases of the prism. The height h coincides with any of the edges of the lateral faces.
Vertices: the eight points where three faces of the prism converge.
Edges: segments where two faces of the prism are found.
The surface area of the rectangular prism (or orthohedron) is calculated by the following formula:
where w is width, l is length, and h is height.
Solving with l = 15mm, w = 3mm, and h = 4mm
Answer:
Answer:
A) The volume of figure 1 is 45 cm³ greater than the volume of figure 2
Step-by-step explanation:
Let's start by calculating the volumes of both figures
Figure 1
Rectangular prism
V = Bh
V = (15*6)(5)
V = (90)(5)
V = 450 cm³
Triangular prism
V = Bh
V = 1/2(3*15)(6)
V = 1/2(45)(6)
V = 1/2(270)
V = 135 cm³
Add them together, you get 585 cm³
Figure 2
Rectangular prism
V = Bh
V = (6*15)(5)
V = (90)(5)
V = 450 cm³
Rectangular pyramid
V = 1/3 Bh
V = 1/3 (15*6)(3)
V = 1/3 (90)(3)
V = 1/3 (270)
V = 90 cm³
Add them together, you get 540 cm³
Subtract 540 from 585 and get 45
Plug in -5 for n
-5^3 + 3(-5)^2
-125 + 3(25) = -125 + 75 = -50
f(-5) = -50
Answer:
Its b
Step-by-step explanation:
if -2x-1=2 then 2+3 = 5
which is (-1,5)
Answer:
In this case, if you sum the first seven terms of your sum, you get 0.0002, that means that your error is less than 0.00002 , in other words, if you sum 6 terms of your sum, 4 terms of your result are correct, (because the error is less than 0.00002).
Step-by-step explanation:
Remember what the alternating series theorem says, basically it states that for a convergent alternating series .
The error of the series can be estimated as follows
The meaning of the theorem is that is an upper bound of the n-error of your sum.
In this case, if you sum the first seven terms of your sum, you get 0.0002, that means that your error is less than 0.00002 , in other words, if you sum 6 terms of your sum, 4 terms of your result are correct, (because the error is less than 0.00002).