Which graph correctly compares the volumes, V, of rectangular pyramids with different heights, h, when their bases all have the dimensions of 4 feet by 6 feet? (Recall that the volume of a rectangular pyramid can be found using the formula, V = one-third B h, where V is the volume, B is the area of the base, and h is the height.)

Explanation:

1. Volume of a rectangular pyramid (given):

2. Base:

3. Volume of the rectangular pyramids with base area equal to 24 feet²:

4. Table

To draw the graph you can build a table

Height in feet        Volume if feet³

         1                             8×1 = 8

         2                            8×2 = 16

         3                            8×3 = 24

         4                            8×4 = 32

         5                            8×5 = 40

Hence, the correct graph will be a coordinate plane with a line that passes through the points (1,8), (2,16), (3,24), (4,32), (5,40), and others that can be found given different values to h in the equation V = 8h.

answer

false

explanation

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