A triangular prism has a volume of 75m^3 and a right triangular base of the area of 10m^2.

a) What is the length of the prism?

b) Sketch a possible prism.

Label its dimensions.

kijijij Oct 23, 2020

#3**+4 **

First here is a sketch of a right triangular prism:

The triangular end has an area of 10 m^{2} as given

area * length = volume

10 * L = 75 m^{3}

L = 7.5 m

Now find appropo dimensions which will give triangle area of 10 m^{2}

area = 1/2 b * h

10 = 1/2 b h

20 = bh so b and h have to multiply to 20 easy ones would be 4 and 5

but you could pick ANYthing that multiplies to 20 10 and 2 or 6 and 3 1/3 etc

whatever you pick for b and h the hypotenuse dimension will be found by Pythagorean theorem

4^2 + 5^2 = h^2 h = sqrt 41

So your sketch would look like this (if you use 4 5 sqrt 41)

ElectricPavlov Oct 23, 2020