Question

The volume of an isosceles right-angled triangular prism is 1000 cm. If the length of the prism is 20 cm, find
[i) its lateral surface area (ii) its total surface area.​

Answer 1

Answer:

lSA=682.8cm^2 TSA=782.8cm^2

Step-by-step explanation:

volume=csa×length

1000=csa×20

csa=50cm^2

csa=1/2×b×h(let base and height be x as it is an isosceles triangle)

50=1/2×x×x

50=x^2/2

root under 100=x

x=10cm

hypotenuse=root under 10^2+b^2

=10root under 2

lsa= perimeter×length

=34.14×20

=682.8cm^2

tsa=lsa+2×csa

=682.8+100

=782.8cm^2

Answer 2

Answer:

volume=1000

height=20cm

now

volume=BA*H

1000=BA*20

BA=50cm^2

Again

let base and height be x

CSA=1/2b*h

50=1/2*x^2

100=x^2

x=10

Then

p=Under root h^2+b^2

p=14.14

So

lsa= (a+b+c)*h

lsa=682.8

Ag

Tsa= lsa+2×BA

TSA=782.8

ANS