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Step-by-step explanation:
Step-by-step explanation:
The formula for the lateral area of a right cone is :
LA = rs
Where
r is the radius of the base and s is the slant height of the cone
Equivalent expression,

or

Hence, this is the required solution.
Answer:
The length and width of the prism are 20 metres and 5 metres respectively
Step-by-step explanation: given that the length of a rectangular prism is four times its width. That is
Length L = 4 width W
L = 4W
the volume of the prism is 380 cubic meters
V = L × W × H
380 = 4W × W × H
380 = 4W^2H
W^2H = 380/4
W^2 H = 95
The only way to get a perfect square number is to make H = 3.8
3.8W^2 = 95
W^2 = 95/3.8
W^2 = 25
W = 5
But L = 4W
L = 4 × 5 = 20
The length and width of the prism are therefore 20 metres and 5 metres respectively