Answer:
y intercept = - 40
Step-by-step explanation:
x 24 36 48
y -8 1 10
y = ax + b
a is the gradient (or slope).
b = y intercept.
a = (48-36) / (10-1) = 12/9
Rewrite to solve for b, which means it starts with b = ...
b = y - 12/9 * x
Substitute one point ( 24 , -8 )
b = -8 - (12/9 * 24)
b = y intercept = - 40
First you’d start off by finding the volume of the rectangular prism on the bottom. The formula for this is lwh or (length*width*height) so you’d plug in the numbers and get 4*4*5 which multiplies out to be 80inches cubed. Next you’d have to find the volume of the pyramid by using the formula lwh/3 or ((length*width*height)/3) so it would be ((4*4*6)/3) and that equals 32inches cubed. Finally, you add the 2 volumes together so 80inches cubed+32inches cubed and get 112inches cubed. Hope this helps
Answer:
The volume of the shoe box is 420 cubic inch
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a righ rectangular prism
Given data
Length of prism l= 12inches
Width of prism w= 7 inches
Height of prism h= 5 inches
We know that the volume of a rectangular prism is expressed as
Volume =l*w*h
Volume = 12*7*5= 420in³
