Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
38m, 11.4m, 9m,7m
Answers: A)1041m^2 ; 1073m^2
B: 1003m ^2 ; 1167m ^2
C: 1041 m^2 ; 1104m ^2
D: 1003m ^2 ; 1104m ^2
Answers
Answer:
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Step-by-step explanation:
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The complete question is,
Use formulas to find the lateral area and surface area of the given prism. The base of the prism is the rectangle with sides of length 13m and 5m.
Given:
The base of the prism is the rectangle with sides of length 13m and 5m.
To find:
Find the lateral area and surface area of the given prism.
Solution:
The lateral surface area of given prism
= Perimeter of the base multiplied by the altitude of the prism
= P × h
The total surface area of a prism is equal to the sum of the lateral surface area of the prism and the area of the bases of the prism
= (P × h) + (2A)
Here the base of the prism is the rectangle.
∴ A = length × breadth = 13 × 5 = 65 cm²
The perimeter of rectangle = 2 × (length + breadth)= 2 × (13 + 5) = 36 cm.
∴ The lateral surface area of prism = P × h = 36 h
∴ The total surface area of prism = (P × h) + (2A) = (36 × h) + (2 × 65)
= 130 + 36h