What does the area of the base of the ice block need to be for the given volume and height? Enter your answer in the box. A pyramid with a rectangular base has a volume of 480 cubic inches and a height of 10 inches. The width of the rectangular base is 9 inches. Find the length of the rectangular base.

length= 26 inches

Base Area= 144 inches²

Step-by-step explanation:

Given:

Volume 'V' = 480 inches³

Height 'h'= 10 inches

Width 'w'= 9 inches

Required:

Base Area 'B'=?

Length 'L'=?

Volume can be determined by:

V= 1/3 x lwh

480= 1/3 x l x 9 x 10

l= 16 inches.

Base area is given by:

B= l x w => 16 x 9

B= 144 inches²

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18