Write and solve and equation
1 answer:
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Answer:
The Area of the base is 16 cm² .
Step-by-step explanation:
Given as :
The surface area of the cuboid = x = 95 cm²
The lateral surface area of the cuboid = y = 63 cm²
Let The Area of the base = z cm²
Now, Let The length of cuboid = l cm
The breadth of cuboid = b cm
The height of cuboid = h cm
<u>According to question</u>
∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)
Or, x = 2 ×(l × b + b × h + h × l)
Or, 95 = 2 ×(l × b + b × h + h × l)
Or, (l × b + b × h + h × l) = ....1
<u>Similarly</u>
∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)
Or, y = 2 ×(b × h + l × h)
Or, 2 ×(b × h + l × h) = 63
Or, (b × h + l × h) = ......2
Putting value of eq 2 into eq 1
so, (l × b + ) =
Or, l × b = -
Or, l × b =
i.e l × b =
so, l × b = 16
<u>Now, Again</u>
∵The Area of the base = ( length × breadth ) cm²
So, z = l × b
i.e z = 16 cm²
So, The Area of the base = z = 16 cm²
Hence,The Area of the base is 16 cm² . Answer
The length of the insect in the final image is .
Further explanation:
In the question it is given that if an object is viewed under a microscope then the object appears times large than its original size.
It is given that the length of a insect is centimeter.
This question is based on the concept of multiplication of decimals.
Consider the length of the insect as .
Since, the length of insect is centimeter so, trhe value of
is
.
As per the question the size of the final image is times large as the original size so, the size of final image is calculated as follows:
Substitute for
in the above equation.
From the above calculation it is concluded that the length of the insect in the final image is .
Therefore, the length of the insect in the final image is .
Learn more:
1. Learn more about numbers brainly.com/question/4736384
2. Learn more about scientific notation of numbers brainly.com/question/4736384
Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Simplification
Keywords: Microscope, insect, cenimeter, magnifies, 0.095cm, 100 times, eyepiece, viewed, 9.5cm, simplification, multiplication, decimals, final image.