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Softa [21]
2 years ago
15

Find the lateral area of the prism. 4cm 3cm 6cm 5cm Lateral Area = [?]cm2

Mathematics
1 answer:
kolbaska11 [484]2 years ago
4 0

Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

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Anarel [89]
Perhaps you mean to find the volume under z=\sqrt{64-x^2-y^2}? It seems like you have to rely on calculus otherwise (in the case that you indeed mean z=64-x^2-y^2).

Assuming this, note that z=\sqrt{64-x^2-y^2} describes the top half of a sphere with radius 8, which means the volume below this surface over the disk x^2+y^2\le64 is simply half the volume of the sphere. Thus the volume is

\dfrac43\pi8^3=\dfrac{2048}3\pi
3 0
3 years ago
If ab= 7x-6 and bc= 12-2x. Then what does ac equal?
ra1l [238]
Ab = (7x-6) →   b = (7x-6)/a   (1)

bc = (12-2x) → b = (12-2x)/c   (2)

Since (1) = (2) → (7x-6)/a = (12-2x)/c OR  a/c = (7x-6)/(12-2x)  (3)

Multiply  both numerators of (3) by the SQUARE of their  respective denominators;

(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:

ac = (7x-6)(12x-2x)  or ac = -14x² + 96x - 72


4 0
3 years ago
The Sun hits a 30 foot flagpole at a 60° angle and casts an unobstructed 52 foot shadow. If a building is built 32 feet away, wh
Over [174]
<span>11.5 Not sure but it should be the answer!!

</span>
4 0
3 years ago
Read 2 more answers
Please help me and give answers​
Roman55 [17]
Easy just divide by 2 :)))
7 0
3 years ago
Find the solution to the system of equations. You can use the interactive graph below to find the solution. y=-4x-3 y=-2x+1 x= y
Mama L [17]

Answer:

(-2, 5)

Step-by-step explanation:

I will assume that your system is

y = -4x - 3

y = -2x + 1

Multiplying the second equation by -2 results in

 y = -4x - 3

-2y = 4x - 2

combining these two equations eliminates x temporarily:

-y = -5, so that y must be 5.

Substituting 5 for y in the second equation, we get:

5 = -2x + 1, or

4 = -2x, which results in x = -2

and so the solution is (-2, 5)

4 0
3 years ago
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