Question

The volume of the rectangular prism is 18 cubic feet more than the volume of the right triangular prism. Find the volume of each figure.

Retangular prism
Length: 6ft
Width: x ft
Height: 3ft

Triangular prism
Length: 7ft
Width: x ft
Height: 4ft

I NEED ANSWERS PLZ
I HAVE TO TURN IN MY WORK FOR ALGEBRA TOMORROW

Answer 1

Volume of rectangular prism = length * width * height

Volume of triangular prism =( length * height * base )/2

Given,

Volume of rectangular prism = 18 + volume of triangular prism

`6*x*3 = 18 + (7*x*4)/(2)`

18x = 18+14x

4x=18

x= 4.5 ft

So volume of rectangular prism = 6* 4.5* 3 = 81 ft³

Volume of triangular prism = (7* 4.5 * 4) / 2 = 63 ft³