a tent is in the shape of triangle prism resting on a rectangular base PQ is equal to p r p t is equal to 1.5 m length of 10th is 5 cm and tan 37 degree is equal to 0.75 find the area of Canvas required for the tent and volume of the tent
Answers
Answer:
Step-by-step explanation:
A tent is in the shape of triangle prism resting on a rectangular base PQ is equal to p r p t is equal to 1.5 m length of 10th is 5 cm and tan 37 degree is equal to 0.75 find the area of Canvas required for the tent and volume of the tent
tan 37 = PT/TR
=> 0.75 = 1.5/ TR
=> TR = 1.5/0.75
=> TR = 2m
similary
QT = 2 m
QR = QT +TR = 4m
area of triangle = (1/2)*4*1.5= 3m^2
volume = area * length
= 3*(5/100) = 0.15 m^3
lenght 5cm may be 5 m as 5 cm lenght tent is practically use less
then voulme = 3*5 = 15m^3
PR^2 = PT^2 + TR^2
PR^2 = 2^2 + (1.5)^2
PR^2 = 4 + 2.25
PR^2 = 6.25
PR = 2.5
assuming cloth for tent is used at bottom also
PR*(5/100) + PQ*(5/100)+QR*(5/100)
=(PR + PQ + QR)*(5/100)
= 9 * (5/100)
= 0.45 m^2
assuming 5 m length
9*5 = 45 m^2
if tent is closed from both sides also then 3 + 3 = 6m^2 cloth would also be required.