Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism. Which statement is true?

Question

Micah Cabrera

Mathematics

1 February, 02:22

Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism. Which statement is true?

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Answers (1)

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Lila Hinton · Answer 1

volume of the red prism = h1 * B1

volume of the blue prism = h2 * B2

area of the base of the red prism = 1/3 * the area of the base of the blue prism.

you get B2/3.

volume of the red prism = h1 * B2/3.

volume of the blue prism is still h2 * B2.

since the volumes are equal, you get:

h1 * B2/3 = h2 * B2

divide both sides of this equation by B2 and you get:

h1/3 = h2

multiply both sides of this equation by 3 and you get:

h1 = 3 * h2.

if the area of the base of the red prism is 1/3 * the area of the base of the blue prism, then the height of the red prism is 3 times the height of the blue prism.