Question

What is the volume of this triangular prism?

Answer 1

Answer:

$\displaystyle V _{ \text{prism}} = 270 {cm}^{3}$

Step-by-step explanation:

we are given a triangular prism

we want to figure out the Volume of the given Prism

remember that,

$\rm\displaystyle V _{ \text{prism}} = [\text{base area}] \times l$

since the base is triangle the formula of base area should be the formula of the area of a triangle

thus,

$\rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times b\times h] \times l$

substitute

$\rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times 9 \times 15]\times 4$

remove parentheses:

$\displaystyle V _{ \text{prism}} = \frac{1}{2}\times 9\times 15\times 4$

reduce fraction:

$\displaystyle V _{ \text{prism}} = 9\times 15\times 2$

simplify multiplication:

$\displaystyle V _{ \text{prism}} = 270$

hence, the Volume of the given prism is 270cm³

Answer 2

Answer:

Given:

perpendicular [p]=9cm

base[b]=15cm

length[l]=4cm

we have

the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l

=½×9×15×4=270cm³

270cm³ is a required volume.