Question

El volumen de un prisma triangular es de 42 cm3, si su base mide 2 cm, y el largo es 6 cm ¿cuánto mide la altura?

Answer 1

h = 7 cm

Explanation:

In order to calculate the height of the triangular prism you use the formula for its volume, which is given by:

`V=(1)/(2)bhl` (1)

V: volume = 42 cm3

b: base of the triangular face = 2 cm

l: length of the prism = 6 cm

h: height = ?

You solve the equation (1) for h, the height of the triangular prism:

`V=(1)/(2)bhl\\\\2V=bhl\\\\h=(2V)/(bl)`

You replace in the last equation the values of V, b and l:

`h=(2(42cm^3))/((2cm)(6cm))=7cm`

hence, the height of the triangular prism is 7 cm