The cuboid has volume 288cm^3 (a) the cuboid has a length 12 cm and a width 5cm Calculate the height of the cuboid (b) 1cm^3 of the cuboid has a mass of 4g Work out the mass of the cuboid. Please help I am desperate

height= 4.8cm

Step-by-step explanation:

volume= length×width× height given the volume and length and width, 288=12×5×h

288=60h

divide both sides by 60

h=4.8cm

h = 4,8 cm

m = 1152 g

V = l×w×h

h = V/l×w

= 288cm³/12cm×5cm

= 288cm³/60cm²

= 4,8 cm

1cm³ 4g

288cm³ xg

x = 288cm³×4g/1cm³ = 1152 g

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form