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amm1812
3 years ago
15

Find the lateral surface area​

Mathematics
1 answer:
Lena [83]3 years ago
4 0

Answer:

At first find the Shaded area of picture

Then calculate area of picture

And find the lateral area

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Part B if the height of each prism is 10 Cm what is the surface area prism
Evgen [1.6K]

Answer:

Prism A:

Area = 288cm^2

Prism B:

Area =250cm^2

Step-by-step explanation:

Given

See attachment for prisms

Height(h) = 10cm

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

Area = 2 * A_b + (a + b + c) * h

Where

A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}

and

s = \frac{a + b + c}{2}

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

a = 8; b =6; c =10

So, we have:

s = \frac{a + b + c}{2}

s = \frac{8 + 6 + 10}{2}

s = \frac{24}{2}

s = 12

Also:

A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}

A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}

A_b = \sqrt{576}

A_b = 24

So:

Area = 2 * A_b + (a + b + c) * h

Area = 2 * 24 + (8 + 6 + 10) * 10

Area = 288cm^2

Prism B is a rectangular prism. So, the area is calculated as:

Area = 2 * (ab + bh + ah)

From the attachment

a = b = 5

h =10

So:

Area =2 * (5 * 5 + 5 * 10 + 5 * 10)

Area =250cm^2

7 0
3 years ago
WILL GIVE BRAINLIEST !!!
wel

Answer:

72-12k plz mark brainlest

Step-by-step explanation:

7 0
3 years ago
10. The number of people, N, employed in a chain of cafes is related to the number of cafes, n, by the equation:
il63 [147K]

Answer:

b.

i. N= 10n+120

    = 10*14+120

    = 260

ii. N = 10n+120

<=> 190=10n+120

<=> n=7

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should b
joja [24]
Width = x
length = x+10

Area of deck = 144 square feet

Area = length * width

144 = x(x+10)

Solving for x in a quadratic:

x²+10x = 144
x²+10x-144 = 0

Factor:
(x+18)(x-8) = 0

Solving for x:
x = 8, x = -18

Dimensions cannot be negative, therefore x = 8, only.

Length = x + 10
Length = 18

Width = 8
4 0
3 years ago
What number is indicated on the number line
g100num [7]
Depends on the number line my guy
3 0
3 years ago
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