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Home > GC > Chapter 12 > Lesson 12.2.4 > Problem 12-89

  1. Examine the mat plan of a three-dimensional solid at right. 12-89 HW eTool (Desmos). Homework Help ✎

    1. On your paper, draw the front, right, and top views of this solid.

    2. Find the volume of the solid.

    3. If each edge of the solid is multiplied by 5, what will the new volume be? Show how you got your answer.

Use the eTool below to assist with this problem.
Click the link at right for the full version of the eTool: GC 12-89 HW eTool

Find the volume of the solid by finding the sum of all the numbers on the mat plan (i.e., the total number of unit cubes used to construct the solid.)

11 cubic units

The volume of the new solid will be 5³ = 125 times the volume of the original.

(11)(5³) = 1375 cubic units