A gift box is in the shape of a trapezoidal prism with base lengths of 7 inches and 5 inches and a height of 4 inches. The height of the gift box is 8 inches. What is the volume of the gift box?
First of all there are multiple formula's to get the volume of a trapezoidal prism:
V=(1/2 (base1 + base2) h) height prism
Using the numbers you gave:
base1 = 7 base2 = 5 h = 4 height prism = 8
Putting this into the equation: V=(1/2 (7 + 5) 4) 8
V= (1/2 12 4) 8
V = 24 8
V = 192
The volume of the gift box is 191 inches squared.