A juice box shaped like a rectangular prism has a length of 5.25 cm, and a height that is 2 cm longer than three times its width.

Write an equation that represents the volume of the juice box.

Recall that the formula for the volume of a rectangular prism is V = l · w · h, where l represents the length, w represents the width, and h represents the height.

V = 15.75w² + 10.5w

Step-by-step explanation:

A rectangular prism is the same as a cuboid and the volume of a cuboid is length multiplied by width multiplied by the height.

And we were provided with the following:

Length = 5.25cm

Width is unknown,= w

The height is said to be 2cm longer than 3 times it's width.

The above statement can be mathematically represented as ;

H = 3w + 2

Apply the above into the formula given and we have

5.25 × w × (3w + 2)

Expand the above and we have

V = 5.25w × (3w + 2)

V = 15.75w² + 10.5w

V=15.75w^2+10.5w

Step-by-step explanation:

V=l*w*h

So,

V=(5.25)(w)(3w+2)

=5.25w(3w+2)

=15.75w^2+10.5w

correct answer:

a + bi

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.