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The base of a right prism is a right ang...

The base of a right prism is a right angled triangle. The measure of the base of the right angled triangle is 3 m and its height 4 m. If the height of the prism is 7 m. then find
(a) the number fo edges of the prism.
(b) the volume of the prism.
(c) the total surface area of the prism.

Text Solution

Verified by Experts

(a The number of the edges= The number fo sides of the base `xx3=3xx3=9.`
(b) The volume of the prism`=`Area fo the base`xx` Height of the prism`=(1)/(2)(3xx4)xx7=42m^(3)`.
(c ) `TSA=LSA+2`(Area of base)
`=ph+2`(Area of base)
where, p = Perimeter of the base = sum of lengths of the sides of the given triangle.
As, hypotenuse of the triangle `sqrt(3^(2)+4^(2))=sqrt(25)=5m`
`implies LSA=ph=12xx7=84 m^(2).`
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