A manufacturer makes plastic containers in the shape of rectangular prisms. One container has a height of 5 inches, a width of LaTeX: \frac{2}{7}2 7 inch, and a length of 2 inches. Find the volume of the container.

The volume of the container is 270 cubic inches

Step-by-step explanation:

Let the length of the rectangular prism is 'L' and the width be 'w' and the height be 'h'.

The volume of the rectangular prism be V

Given that,

W= 27 inches

H = 5 inches

L = 2 inches

The volume of the rectangular prism can be calculated by,

V = w x h x L

V = 27 x 5 x 2

V = 270 cubic inches

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b