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Please hurry and answer i am stuck on this question

Two rectangular prisms have the same volume. The area of the base of the blue prism is 418418 square units. The area of the base of the red prism is one-half that of the blue prism. Which statement is true?
A.The height of the red prism is four times the height of the blue prism.
b.The height of the red prism is two times the height of the blue prism.
c.The height of the red prism is one-half the height of the blue prism.
d.The height of the red prism is the same as the height of the blue prism.

Please hurry and answer i am stuck on this question Two rectangular prisms have the-example-1

1 Answer

3 votes
Volume of prism = Area of cross-section × height

Volume of blue prism = (
4 (1)/(8))×(
h_B

Volume of red prism =
( (1)/(2))(4 (1)/(8))×
(h_R)


V_(blue):V_(red)

(4 (1)/(8))(h_B):( (33)/(16))(h_R)

(33)/(8)h_B: (33)/(16)h_R

(66)/(16)h_B: (33)/(16)h_R

66h_B:33h_R

66h_B = 33h_R

(66)/(33)= (h_R)/(h_B)

(2)/(1)= (h_R)/(h_B)

2:1=h_R:h_B

The height of red prism is twice the height of the blue prism

Correct option: B
User Mattmoor
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