Question

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​

Answer 1

80in²

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