The surface area of the rectangular prism is 3668.94 m²
<h3>Calculating Surface area </h3>
From the question, we are to determine the surface area of the rectangular prism
Surface area of a rectangular prism is given by the formula,
Surface area = 2(lw + lh + wh)
Where l is the length
w is the width
and h is the height
From the given diagram,
l = 35.7 m
w = 25.5 m
h = 15.1 m
Putting the parameters into the formula, we get
Surface area = 2(35.7×25.5 + 35.7×15.1 + 25.5×15.1)
Surface area = 2(910.35 + 539.07 + 385.05)
Surface area = 2(1834.47)
Surface area = 3668.94 m²
Hence, the surface area of the rectangular prism is 3668.94 m²
Learn more on Calculating surface area here: brainly.com/question/1310421
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We have that
<span>1. Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm
[surface area]=[area of 4 triangles sides]+[area of square base]
</span>[area of square base]=24*24--------> 576 cm²
[area of one triangles side]
l=slant height
l²=16²+12²-------> l²=400-----------> l=20 cm
[area of one triangles side]=24*20/2--------> 240 cm²
[area of 4 triangles sides]=4*240----------> 960 cm²
[surface area]=[960]+[576]--------> 1536 cm²
the answer part 1) is option B) 1536 cm²
<span>2. Use 3.14 for π and round to the nearest tenth.
</span>Find the surface area of the cylinder<span>
radius=8 in
<span>height= 8 in
</span></span>[surface area]=2*[area of circular base]+[Perimeter of base]*h
[area of circular base]=pi*8²----> 200.96 in²
Perimeter=2*pi*8--------> 50.24 in
[surface area]=2*[200.96]+[50.24]*8-----------> 803.84 in²
the answer Part 2) is the option C) 803.8 in²
<span>3. Find the volume of the cylinder.
</span>[volume of the cylinder]=[area of circular base]*h
[volume of the cylinder]=[200.96]*8---------> 1607.68 in³
the answer Part 3) is the option A.) 1607.7 in.3
<span>4.Find the volume of a rectangular prism with the following dimensions:
Length = 5 mm
Base = 7 mm
Height = 3 mm
</span>
[volume of a rectangular prism]=L*B*H
[volume of a rectangular prism]=5*7*3----------> 105 mm³
the answer part 4) is the option <span>B.) 105 mm3
</span><span>5.Find the volume of the given pyramid.
A large pyramid has a height of 7 yards, radius of 9 yards, and base of 7 yards.
</span>this question is incorrect
the correct question is
5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
or
5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)
<span>we will solve the two cases
</span>
5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
[volume of the pyramid]=pi*r²*h/3---------> pi*9²*7/3---------> 593.46 yd³
the answer Part 5a) is 593.46 yd³
5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)
[volume of the pyramid]=b²*h/3---------> 7²*7/3---------> 114.33 yd³
the answer Part 5b) is 114.33 yd³
<span>6.Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm.
[</span>volume of a square pyramid]=b²*h/3---------> 9²*4/3-------> 108 cm³
the answer Part 6) is the option <span>B.)1</span>08 cm³
Answer: y = 23x - 62
<u>Step-by-step explanation:</u>
Parallel lines have the same slope.
y = 23x + 4
m=23 b=4
Input x = 3, y = 7, & m = 23 into the Point-Slope formula to find the equation or the Slope-Intercept formula to find b (you already have m). I will choose the latter.
y = mx + b
7 = 23(3) + b
7 = 69 + b
-62 = b
m = 23, b = -62 --> y = 23x - 62
Answer:
X probability = 0.02
Cumulative frequency at x ( 6 ) = 1
Step-by-step explanation:
X P ( X ) Cf ( X )
1 0.58 0.58
2 0.18 0.58 + 0.18 = 0.76
3 0.10 0.76 + 0.10 = 0.86
4 0.07 0.86 + 0.07 = 0.93
5 0.05 0.93 + 0.05 = 0.98
6 0.02 0.98 + 0.02 = 1
.8x125=100 your answer is 100
