A rectangular prism has a volume of 10 cubic units. If the length, width, and height of the prism are each made 3 times as long, what is the new volume?

Question

A: 1000 cubic units
B: 90 cubic units
C: 270 cubic units
D: 30 cubic units

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Answer 1 · 2018-02-02T02:01:45

New volume of the rectangular prism is # color(brown)(C. 270# cubic units

Volume of a rectangular prism is

#V = l * b * h# where l = Length, b = breadth, h = height.

Let V1 the volume of the given prism and V2 the new one with size tripled.

Given #V1 = 10# cubic units

V1 = l1 * b1 h1 = 10#

#V2 = l2 * b2 * h2 = (3l1 * 3b1 * 3h1) = 27( l1 * b1 * h1)#

# V2 = 27 * 10 = 270# cubic units