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Triss [41]
3 years ago
13

A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same

base and half the height of the prism is placed inside the prism, as shown in the figure.
The volume of the space outside the pyramid but inside the prism is cubic centimeters

Mathematics
2 answers:
Vadim26 [7]3 years ago
6 0
The answer is 250 cm³

We need to calculate V = Vr - Vp
V - the <span>volume of the space outside the pyramid but inside the prism
Vr - the volume of the rectangular prism.
</span>Vp - the volume of the pyramid<span>

Vr = w * l * h
w = l = 5 cm
h1 = 12 cm
Vr = 5 * 5 * 12 = 300 cm</span>³<span>


Vp = w * l * h / 3
w = l = 5 cm
h2 = h1/2 = 12/2 = 6 cm
Vp = 5 * 5 * 6 / 3 = 50 cm</span>³


V = Vr - Vp = 300 cm³ - 50 cm³ = 250 cm³
Arlecino [84]3 years ago
6 0
I hope this helps you

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7 0
2 years ago
Hi, I am new to this website :) I'm currently taking an online trig class on De Moivre's theorem and I don't understand it at al
Vladimir [108]
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))] 

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.

For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

And the answer is -32 -32 √3 i

Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i

7 0
3 years ago
Graph the equation of the line for the equation , y = 3x-12
tamaranim1 [39]

Answer:

Step-by-step explanation:

3 0
3 years ago
12x=3/2 what does x=
xz_007 [3.2K]
<h2>>> Answer </h2>

_________

\:

12x =  \frac{3}{2}

x =  \frac{3}{2}  \times  \frac{1}{12}

x =  \frac{3}{24}

x =  \bold{ \frac{1}{8}}

5 0
3 years ago
Read 2 more answers
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