Please solve the volume of the triangular prism

V = 225 cm²

Step-by-step explanation:

The volume of a prism is the product of the base's area and the height

the base of this prism is triangular

the area of a triangle is given by the formula :

b is the base(6cm) and h the height (5cm)

So the volume is

225 cm³

Step-by-step explanation:

Area of cross-section × length = Volume of a triangular prism

Area of cross-section is the area of the triangle section.

Area of cross section:

5 × 6 × 0.5

30 × 0.5

= 15

Calculate volume:

15 × length

15 × 15

= 225

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.