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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Answer: 5:15:23 pm
Step-by-step explanation:
There are different time zones in the world due to the Earth's rotation as this results in different parts of the Earth receiving sunlight at different times.
GMT is used as a basis to find the times of other zones.
In this instance, EDT time is -4 that of GMT.
This means that EDT is 4 hours behind GMT.
Time in GMT is therefore:
= 1:15:23 + 4 hours
= 5:15:23 pm
Given the points H(6,7) and I(-7,-6).
If point G lies of the way along line segment HI.
Therefore, we can say that the point G divides the line segment HI in the ratio 1:1.
So, by using the cross section formula we can determine the coordinates of point G.
For the given points say and divided is in the ratio , the coordinates are
Coordinates G =
= (-0.5 , 0.5)
Hence, the coordinates of G are (-0.5 , 0.5).
So, Santiago argues that point G is located at the origin. The point G is located at (-0.5, 0.5). Therefore, he is not correct.
n = 15
Step-by-step explanation:
- Step 1: Calculate n by using the law of exponents that a^m × a^n = a^m+n
For 2^-6*2^n=2^9, a = 2, m = -6 and m + n = 9
⇒ -6 + n = 9
⇒ n = 15
- Step 2: Given 2³ × 4³=2^9. Use law of exponents to prove it.
⇒ 2³ × 4³ can also be written as 2³ × (2²)³ = 2³ × 2^6 [This is based on the law of exponents (a^m)^n = (a)^m×n]
⇒ 2³ × 2^6 = 2^ (3 + 6) = 2^9 [Using the law of exponents a^m × a^n = a^m+n]