Question

Find the volume and surface area of this triangular prism. 12 cm 13 cm 18 cm and 5 cm ​

Answer 1

V=180

Explanation:

volume of the triangle =b×h

B means that the base of the prism.

to find the base use heron's formula.

and multiple with hight.

s=A+B+C/2

s=5+12+13/2=15

A=root over 15 (15-5)(15-12)(15-13) = 30

V=b×h

V=30×6

V=180

Answer 2

⇒ s = a+b+c2=5+12+132 a + b + c 2 = 5 + 12 + 13 2 = 15 cm.
Area of the base = √s(s−a)(s−b)(s−c)
= √15×10×3×2 15 × 10 × 3 × 2 cm2 = 30 cm2