Here is a triangular prism All measurements are in centimeters

Calculate the volume and surface area of the prism.

Volume = 42 cm^3, Surface Area = 96 cm^2

Step-by-step explanation:

Volume = Area * Height

S = semi-perimeter or half of the perimeter

Area of the triangle using heron's formula =

S = (3 + 4 + 5)/2 = 6 cm

Area of triangle =

                          =

                          =

                          = 6 cm^2

Volume = 6 * 7

             = 42 cm^3

Surface Area = Area of bases * Area of Lateral faces

Area of lateral faces = 7 * 3 + 7 * 4 + 7 * 5 = 84 cm^2

Area of bases = 6 cm^2 * 2 = 12 cm^2

Surface area = 12 cm^2 + 84 cm^2 = 96 cm^2

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x