Question

If a volume of a triangular prism is 60cm^3 and area of a base is 6cm^2, find its length.​

Answer 1

Answer:

Step-by-step explanation:

Given: the base is a right angled triangle with sides a=6cm, b=8cm, c=10cm and T.S.A=156cm  

2

. We know that

T.S.A.=2B+Ph=2×  

2

1

​  

×8×6+(6+8+10)h=48+24h.

Thus 48+24h=156. This implies that 24h=156−48=108.

Hence h=  

24

108

​  

=4.5cm.

Therefore LSA=Ph=(6+8+10)×4.5=24×4.5=108cm  

2

.

Answer 2

★volume=base area×height

★sum will be solved