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

Answer:

h = 7 cm

Step-by-step explanation:

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

$V=\frac{1}{2}bhl$      (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:

$V=\frac{1}{2}bhl\\\\2V=bhl\\\\h=\frac{2V}{bl}$

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

$h=\frac{2(42cm^3)}{(2cm)(6cm)}=7cm$

hence, the height of the triangular prism is 7 cm