Question 14

1 pts

V6: Two right rectangular prisms, prism A and prism B, have the same

height. The volume of prism A is half the volume of prism B. the base of

prism A has an area of 40 square inches. What is the area, in square

inches, of the base of prism B?

40

80in²

Step-by-step explanation:

Area of a rectangular prism = Base area * Height

Let vA = be the volume of prism A

vB be the volume of prism B

vA = Base area of A * Ha

vB = Base area of B * Hb

If The volume of prism A is half the volume of prism B then vA = 1/2 VB

BaHa = (BbHb) / 2

Given Base area of A = 40in² and Ha = Hb then we have:

40Ha = BbHa/2

40 = Bb/2

Bb = 2*40

Bb = 80in²

This shows that the base area of prism B is 80in²