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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 koo statement is true?

Two rectangular prisms have the same volume the area of the base of the blue prism is 2 16 square units The area of the base of the red prism is one third that class=

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abidemiokin

Answer:

This shows that the height of the red prism will be three times that of blue

Step-by-step explanation:

Volume of a prism = 1/3 * base area * height

V = 1/3Bh

Vr = 1/3Brhr...1

Vb = 1/3Bbhb... 2

Let the volume of red prism be Vr and the volume of blue prism be Vb. If both prisms have the same volume then Vr = Vb = V.

Also if the area of the base of the red prism is one third that of the blue prism, the B, then Br = 1/3 Bb where Bb = 3Br..(3)

Since the volume are the same then;

1/3Brhr =  1/3Bbhb

Substituting equation 3 intio the resulting expression;

1/3Brhr =  1/3(3Br)hb

hr = 3hb

This shows that the height of the red prism will be three times that of blue

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