Darren wants to grow tomatoes and herbs so he can make his own fresh pizza sauce. Darren's planter box is seven feet long and four feet wide on the inside. Darren fills the planter box with soil to a height of two feet. What is the volume of soil in Darren's planter box?

The volume of soil in Darren's planter box is 56 feet³

Step-by-step explanation:

The formula of the volume of a rectangular box is V = l × w × h, where l is its length , w is its width and h is its height

∵ Darren's planter box is seven feet long and four feet wide

∴ l = 7 feet

∴ w = 4 feet

The volume of the soil is equal to the volume of the box using the height of the soil, because the soil takes the shape of the box, so they have the same dimensions of the base

∵ Darren fills the planter box with soil to a height of two feet

∴ h = 2 feet

- Substitute the values of l, w and h in the formula of the volume

∵ V = 7 × 4 × 2

∴ V = 56 feet³

The volume of soil in Darren's planter box is 56 feet³

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl