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Svetlanka [38]
3 years ago
5

How can you find the surface area of a composite solid made up of prisms ? (Help)

Mathematics
1 answer:
sammy [17]3 years ago
8 0
Oh, this is easy. For any prism, you find the surface area by finding the are of all the sides. I will post all surface area formulas here, for reference
Cube:



Surface area = 6 × a2




Right circular cylinder:



Surface area = 2 × pi × r2   +  2 × pi × r × h

pi = 3.14
h is the height
r is the radius


Rectangular prism:



Surface area = 2 × l × w  +  2 × l × h  +  2 × w × h 




l is the length
w is the width
h is the height


Sphere:



Surface area = 4 × pi × r2 

pi = 3.14
r is the radius


Right circular cone:



Surface area = pi × r2  +  pi × r ×( √(h2 + r2)) 

pi = 3.14
r is the radius
h is the height
l is the slant height 


Right square pyramid:



Surface area = s2 + 2 × s × l

s is the length of the base
h is the height
l is the slant height 
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RUDIKE [14]
The answer is:  " 60° " .
__________________________________________________________
     " m∠A = 60° " .
__________________________________________________________
Explanation:
__________________________________________________________

Note:  All triangles, by definition, have 3 (three) sides and 3 (three angles).

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Since each of the 3 (three) angles is equal;  and the three angles are:  

  "∠A" , "∠B" , and "∠C" ;

We can find the measure of "∠A" ; denoted as:  "m∠A" ; as follows:
______________________________________________________
    m∠A  = 180° ÷ 3 = 60° .
______________________________________________________
The answer is:  " 60° " .
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7 0
3 years ago
be rectangular prism and rectangular pyramid have the same volume. determine the value of x, the height of the pyramid.
Marina CMI [18]
ANSWER

x= 9 \: in

EXPLANATION

The volume of a rectangular prism is given by the formula,

V = l \times b \times h
We substitute the dimensions to obtain,

V = 6 \times 3 \times 12 \: {in}^{3}

The volume of the rectangular pyramid is,

V = \frac{1}{3} \times 6 \times 12 \times x \: {in}^{3}

Equating the two volumes gives,

\frac{1}{3} \times 6 \times 12 \times x = 6 \times 3 \times 12

We divide through by 6×12 to get,

\frac{x}{3}=3

We solve for x to obtain,

x = 3 \times 3

x = 9 \: in
7 0
3 years ago
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