Aright rectangular prism is 10 1/2 m wide, 15 1/2 m long, and 3 m tall. what is the volume of the prism?
a- 46 1/2 m³ b- 162 3/4m³ c- 488 1/4 m³ d- 528 m³

Option C is correct

Step-by-step explanation:

Volume(V) of a right rectangular prism is given by:

where

l is the length, w is the width and h is the height of the prism respectively.

as per the statement:

A right rectangular prism is 10 1/2 m wide, 15 1/2 m long, and 3 m tall.

⇒, and h = 3m

Substitute these in [1] we get;

Therefore, the volume of the prism is,

the solution is h=10 because you add 9 to each side of the equation.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.